42039637416 has 384 divisors, whose sum is σ = 148492569600. Its totient is φ = 10938654720.

The previous prime is 42039637397. The next prime is 42039637427. The reversal of 42039637416 is 61473693024.

42039637416 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 9 + 637 + 4 + 1 + 6 = 666.

42039637416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42039637416² (a number of 22 digits) contains 22 as substring.

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, 5574000 + ... + 5581536.

It is an arithmetic number, because the mean of its divisors is an integer number (386699400).

Almost surely, 2^42039637416 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 42039637416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74246284800).

42039637416 is an abundant number, since it is smaller than the sum of its proper divisors (106452932184).

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

42039637416 is a wasteful number, since it uses less digits than its factorization.

42039637416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7614 (or 7597 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 42039637416 in words is "forty-two billion, thirty-nine million, six hundred thirty-seven thousand, four hundred sixteen".