4026625162560 has 4032 divisors, whose sum is σ = 20599966033920. Its totient is φ = 722847006720.

The previous prime is 4026625162531. The next prime is 4026625162607. The reversal of 4026625162560 is 652615266204.

4026625162560 is a `hidden beast` number, since 4 + 0 + 2 + 6 + 6 + 25 + 1 + 62 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×4026625162560² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 22495112551 + ... + 22495112729.

It is an arithmetic number, because the mean of its divisors is an integer number (5109118560).

Almost surely, 2^{4026625162560} is an apocalyptic number.

4026625162560 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 4026625162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10299983016960).

4026625162560 is an abundant number, since it is smaller than the sum of its proper divisors (16573340871360).

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

4026625162560 is a wasteful number, since it uses less digits than its factorization.

4026625162560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 4026625162560 in words is "four trillion, twenty-six billion, six hundred twenty-five million, one hundred sixty-two thousand, five hundred sixty".