42007715904 has 672 divisors, whose sum is σ = 155185238016. Its totient is φ = 9707765760.

The previous prime is 42007715801. The next prime is 42007715909. The reversal of 42007715904 is 40951770024.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (42007715909) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90729177 + ... + 90729639.

Almost surely, 2^42007715904 is an apocalyptic number.

42007715904 is a gapful number since it is divisible by the number (44) 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 42007715904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77592619008).

42007715904 is an abundant number, since it is smaller than the sum of its proper divisors (113177522112).

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

42007715904 is a wasteful number, since it uses less digits than its factorization.

42007715904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 42007715904 in words is "forty-two billion, seven million, seven hundred fifteen thousand, nine hundred four".