4042604252160 has 264 divisors, whose sum is σ = 14032227250080. Its totient is φ = 1076126220288.

The previous prime is 4042604252123. The next prime is 4042604252191. The reversal of 4042604252160 is 612524062404.

4042604252160 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 604 + 25 + 21 + 6 + 0 = 666.

It is a super-2 number, since 2×4042604252160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 26142429 + ... + 26296611.

Almost surely, 2^{4042604252160} is an apocalyptic number.

4042604252160 is a gapful number since it is divisible by the number (40) 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 4042604252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7016113625040).

4042604252160 is an abundant number, since it is smaller than the sum of its proper divisors (9989622997920).

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

4042604252160 is a wasteful number, since it uses less digits than its factorization.

4042604252160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154783 (or 154762 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 4042604252160 in words is "four trillion, forty-two billion, six hundred four million, two hundred fifty-two thousand, one hundred sixty".