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41422121440 = 2557132127997
BaseRepresentation
bin100110100100111100…
…110110100111100000
310221220210000210100221
4212210330312213200
51134313030341230
631010135452424
72664323136310
oct464474664740
9127823023327
1041422121440
1116626786a17
128040227114
133ba18a7c3b
14200d3db440
15112679b27a
hex9a4f369e0

41422121440 has 96 divisors (see below), whose sum is σ = 111928388544. Its totient is φ = 14190612480.

The previous prime is 41422121413. The next prime is 41422121449. The reversal of 41422121440 is 4412122414.

It is a happy number.

41422121440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41422121449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1465522 + ... + 1493518.

It is an arithmetic number, because the mean of its divisors is an integer number (1165920714).

Almost surely, 241422121440 is an apocalyptic number.

41422121440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41422121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55964194272).

41422121440 is an abundant number, since it is smaller than the sum of its proper divisors (70506267104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41422121440 is a wasteful number, since it uses less digits than its factorization.

41422121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29340 (or 29332 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 41422121440 its reverse (4412122414), we get a palindrome (45834243854).

The spelling of 41422121440 in words is "forty-one billion, four hundred twenty-two million, one hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 1321 2642 5284 6605 9247 10568 13210 18494 21136 26420 27997 36988 42272 46235 52840 55994 73976 92470 105680 111988 139985 147952 184940 195979 211360 223976 279970 295904 369880 391958 447952 559940 739760 783916 895904 979895 1119880 1479520 1567832 1959790 2239760 3135664 3919580 4479520 6271328 7839160 15678320 31356640 36984037 73968074 147936148 184920185 258888259 295872296 369840370 517776518 591744592 739680740 1035553036 1183489184 1294441295 1479361480 2071106072 2588882590 2958722960 4142212144 5177765180 5917445920 8284424288 10355530360 20711060720 41422121440