42077504124 has 72 divisors (see below), whose sum is σ = 108213945840. Its totient is φ = 13781913600.

The previous prime is 42077504107. The next prime is 42077504141. The reversal of 42077504124 is 42140577024.

42077504124 is a `hidden beast` number, since 4 + 20 + 7 + 7 + 504 + 124 = 666.

It is an interprime number because it is at equal distance from previous prime (42077504107) and next prime (42077504141).

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, 9387964 + ... + 9392444.

It is an arithmetic number, because the mean of its divisors is an integer number (1502971470).

Almost surely, 2^42077504124 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 42077504124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54106972920).

42077504124 is an abundant number, since it is smaller than the sum of its proper divisors (66136441716).

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

42077504124 is a wasteful number, since it uses less digits than its factorization.

42077504124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8971 (or 8966 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The spelling of 42077504124 in words is "forty-two billion, seventy-seven million, five hundred four thousand, one hundred twenty-four".