42015604512 has 96 divisors (see below), whose sum is σ = 126391007232. Its totient is φ = 11971678464.

The previous prime is 42015604487. The next prime is 42015604513. The reversal of 42015604512 is 21540651024.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×42015604512² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42015604512.

It is not an unprimeable number, because it can be changed into a prime (42015604513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161443 + ... + 331805.

It is an arithmetic number, because the mean of its divisors is an integer number (1316572992).

Almost surely, 2^42015604512 is an apocalyptic number.

42015604512 is a gapful number since it is divisible by the number (42) 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 42015604512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63195503616).

42015604512 is an abundant number, since it is smaller than the sum of its proper divisors (84375402720).

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

42015604512 is a wasteful number, since it uses less digits than its factorization.

42015604512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170750 (or 170742 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 42015604512 in words is "forty-two billion, fifteen million, six hundred four thousand, five hundred twelve".