4025664145120 has 96 divisors (see below), whose sum is σ = 9692031283200. Its totient is φ = 1579666500096.

The previous prime is 4025664145109. The next prime is 4025664145177. The reversal of 4025664145120 is 215414665204.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4076617 + ... + 4966903.

It is an arithmetic number, because the mean of its divisors is an integer number (100958659200).

Almost surely, 2^{4025664145120} is an apocalyptic number.

4025664145120 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 4025664145120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4846015641600).

4025664145120 is an abundant number, since it is smaller than the sum of its proper divisors (5666367138080).

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

4025664145120 is a wasteful number, since it uses less digits than its factorization.

4025664145120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890840 (or 890832 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 4025664145120 in words is "four trillion, twenty-five billion, six hundred sixty-four million, one hundred forty-five thousand, one hundred twenty".