42556415016960 has 696 divisors, whose sum is σ = 159463545468864. Its totient is φ = 10436770529280.

The previous prime is 42556415016943. The next prime is 42556415016971. The reversal of 42556415016960 is 6961051465524.

It is a happy number.

42556415016960 is a `hidden beast` number, since 4 + 2 + 5 + 5 + 6 + 41 + 501 + 6 + 96 + 0 = 666.

It is a super-2 number, since 2×42556415016960² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42556415016897 and 42556415016906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157034741625 + ... + 157034741895.

Almost surely, 2^{42556415016960} is an apocalyptic number.

42556415016960 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 42556415016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79731772734432).

42556415016960 is an abundant number, since it is smaller than the sum of its proper divisors (116907130451904).

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

42556415016960 is an frugal number, since it uses more digits than its factorization.

42556415016960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 42556415016960 in words is "forty-two trillion, five hundred fifty-six billion, four hundred fifteen million, sixteen thousand, nine hundred sixty".