42016528800624 has 160 divisors (see below), whose sum is σ = 125239484160000. Its totient is φ = 11889907299072.

The previous prime is 42016528800601. The next prime is 42016528800661. The reversal of 42016528800624 is 42600882561024.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18495427 + ... + 20642525.

It is an arithmetic number, because the mean of its divisors is an integer number (782746776000).

Almost surely, 2^{42016528800624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42016528800624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62619742080000).

42016528800624 is an abundant number, since it is smaller than the sum of its proper divisors (83222955359376).

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

42016528800624 is a wasteful number, since it uses less digits than its factorization.

42016528800624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2147675 (or 2147669 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 42016528800624 in words is "forty-two trillion, sixteen billion, five hundred twenty-eight million, eight hundred thousand, six hundred twenty-four".