42604162944 has 512 divisors, whose sum is σ = 142132838400. Its totient is φ = 11031379968.

The previous prime is 42604162933. The next prime is 42604162987. The reversal of 42604162944 is 44926140624.

It is a happy number.

It is a super-2 number, since 2×42604162944² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 42604162896 and 42604162905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 178259977 + ... + 178260215.

It is an arithmetic number, because the mean of its divisors is an integer number (277603200).

Almost surely, 2^42604162944 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 42604162944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71066419200).

42604162944 is an abundant number, since it is smaller than the sum of its proper divisors (99528675456).

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

42604162944 is a wasteful number, since it uses less digits than its factorization.

42604162944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 42604162944 in words is "forty-two billion, six hundred four million, one hundred sixty-two thousand, nine hundred forty-four".