42015606624 has 144 divisors (see below), whose sum is σ = 128035685232. Its totient is φ = 13022429184.

The previous prime is 42015606601. The next prime is 42015606631. The reversal of 42015606624 is 42660651024.

42015606624 is a `hidden beast` number, since 4 + 20 + 1 + 5 + 6 + 0 + 6 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×42015606624² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354672 + ... + 458064.

It is an arithmetic number, because the mean of its divisors is an integer number (889136703).

Almost surely, 2^42015606624 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 42015606624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64017842616).

42015606624 is an abundant number, since it is smaller than the sum of its proper divisors (86020078608).

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

42015606624 is a wasteful number, since it uses less digits than its factorization.

42015606624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103509 (or 103498 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 42015606624 in words is "forty-two billion, fifteen million, six hundred six thousand, six hundred twenty-four".