42696274656000 has 1728 divisors, whose sum is σ = 175616516275200. Its totient is φ = 9135518515200.

The previous prime is 42696274655987. The next prime is 42696274656011. The reversal of 42696274656000 is 65647269624.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15913630659 + ... + 15913633341.

It is an arithmetic number, because the mean of its divisors is an integer number (101629928400).

Almost surely, 2^{42696274656000} is an apocalyptic number.

42696274656000 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 42696274656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87808258137600).

42696274656000 is an abundant number, since it is smaller than the sum of its proper divisors (132920241619200).

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

42696274656000 is a wasteful number, since it uses less digits than its factorization.

42696274656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2947 (or 2916 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 57.

The spelling of 42696274656000 in words is "forty-two trillion, six hundred ninety-six billion, two hundred seventy-four million, six hundred fifty-six thousand".