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40141441340 = 2257111337471153
BaseRepresentation
bin100101011000100111…
…011100100100111100
310211121112012111112122
4211120213130210330
51124202202110330
630235110222112
72620512423140
oct453047344474
9124545174478
1040141441340
1116029885010
127943354938
133a29475970
141d2b2a9220
15109e1255e5
hex9589dc93c

40141441340 has 384 divisors, whose sum is σ = 118817169408. Its totient is φ = 10988421120.

The previous prime is 40141441337. The next prime is 40141441391. The reversal of 40141441340 is 4314414104.

40141441340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×401414413402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34814204 + ... + 34815356.

It is an arithmetic number, because the mean of its divisors is an integer number (309419712).

Almost surely, 240141441340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40141441340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59408584704).

40141441340 is an abundant number, since it is smaller than the sum of its proper divisors (78675728068).

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

40141441340 is a wasteful number, since it uses less digits than its factorization.

40141441340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 40141441340 its reverse (4314414104), we get a palindrome (44455855444).

The spelling of 40141441340 in words is "forty billion, one hundred forty-one million, four hundred forty-one thousand, three hundred forty".