4042725624 has 192 divisors, whose sum is σ = 13233991680. Its totient is φ = 1090368000.

The previous prime is 4042725559. The next prime is 4042725637. The reversal of 4042725624 is 4265272404.

4042725624 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 7 + 25 + 624 = 666.

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 47 ways as a sum of consecutive naturals, for example, 637429 + ... + 643739.

It is an arithmetic number, because the mean of its divisors is an integer number (68927040).

Almost surely, 2^4042725624 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 4042725624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6616995840).

4042725624 is an abundant number, since it is smaller than the sum of its proper divisors (9191266056).

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

4042725624 is a wasteful number, since it uses less digits than its factorization.

4042725624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6402 (or 6395 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 4042725624 is about 63582.4317244945. The cubic root of 4042725624 is about 1593.0329388626.

The spelling of 4042725624 in words is "four billion, forty-two million, seven hundred twenty-five thousand, six hundred twenty-four".