42556965068800 has 2016 divisors, whose sum is σ = 144734541396480. Its totient is φ = 12247577395200.

The previous prime is 42556965068797. The next prime is 42556965068837. The reversal of 42556965068800 is 886056965524.

It is a super-2 number, since 2×42556965068800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 68751154891 + ... + 68751155509.

It is an arithmetic number, because the mean of its divisors is an integer number (71792927280).

Almost surely, 2^{42556965068800} is an apocalyptic number.

42556965068800 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 42556965068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72367270698240).

42556965068800 is an abundant number, since it is smaller than the sum of its proper divisors (102177576327680).

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

42556965068800 is a wasteful number, since it uses less digits than its factorization.

42556965068800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 64.

The spelling of 42556965068800 in words is "forty-two trillion, five hundred fifty-six billion, nine hundred sixty-five million, sixty-eight thousand, eight hundred".