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425332540440 = 2332547117121467
BaseRepresentation
bin1100011000001111100…
…10111000010000011000
31111122212011012202112100
412030013302320100120
523432040112243230
6523221200243400
742505064641023
oct6140762702030
91448764182470
10425332540440
11154423148a35
126a523010560
1331154a26a42
141682c7901ba
15b0e58a6660
hex6307cb8418

425332540440 has 192 divisors, whose sum is σ = 1413013455360. Its totient is φ = 110908811520.

The previous prime is 425332540421. The next prime is 425332540453. The reversal of 425332540440 is 44045233524.

425332540440 is a `hidden beast` number, since 4 + 253 + 325 + 40 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 425332540395 and 425332540404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19802587 + ... + 19824053.

It is an arithmetic number, because the mean of its divisors is an integer number (7359445080).

Almost surely, 2425332540440 is an apocalyptic number.

425332540440 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 425332540440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706506727680).

425332540440 is an abundant number, since it is smaller than the sum of its proper divisors (987680914920).

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

425332540440 is a wasteful number, since it uses less digits than its factorization.

425332540440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22702 (or 22695 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 425332540440 its reverse (44045233524), we get a palindrome (469377773964).

The spelling of 425332540440 in words is "four hundred twenty-five billion, three hundred thirty-two million, five hundred forty thousand, four hundred forty".