42025662504 has 384 divisors, whose sum is σ = 138773606400. Its totient is φ = 11235893760.

The previous prime is 42025662499. The next prime is 42025662589. The reversal of 42025662504 is 40526652024.

42025662504 is a `hidden beast` number, since 4 + 2 + 0 + 25 + 6 + 625 + 0 + 4 = 666.

It is a super-2 number, since 2×42025662504² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89990479 + ... + 89990945.

It is an arithmetic number, because the mean of its divisors is an integer number (361389600).

Almost surely, 2^42025662504 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 42025662504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69386803200).

42025662504 is an abundant number, since it is smaller than the sum of its proper divisors (96747943896).

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

42025662504 is a wasteful number, since it uses less digits than its factorization.

42025662504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 42025662504 in words is "forty-two billion, twenty-five million, six hundred sixty-two thousand, five hundred four".