42715796688000 has 512 divisors, whose sum is σ = 157374937324800. Its totient is φ = 11388097843200.

The previous prime is 42715796687983. The next prime is 42715796688001. The reversal of 42715796688000 is 88669751724.

42715796688000 is a `hidden beast` number, since 427 + 1 + 5 + 79 + 6 + 68 + 80 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (42715796688001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2258054542 + ... + 2258073458.

Almost surely, 2^{42715796688000} is an apocalyptic number.

42715796688000 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 42715796688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78687468662400).

42715796688000 is an abundant number, since it is smaller than the sum of its proper divisors (114659140636800).

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

42715796688000 is a wasteful number, since it uses less digits than its factorization.

42715796688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24182 (or 24154 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 42715796688000 in words is "forty-two trillion, seven hundred fifteen billion, seven hundred ninety-six million, six hundred eighty-eight thousand".