4025313868800 has 528 divisors, whose sum is σ = 15242432318720. Its totient is φ = 917772042240.

The previous prime is 4025313868727. The next prime is 4025313868841. The reversal of 4025313868800 is 88683135204.

It is a super-2 number, since 2×4025313868800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4025313868800.

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, 219869247 + ... + 219887553.

Almost surely, 2^{4025313868800} is an apocalyptic number.

4025313868800 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 4025313868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7621216159360).

4025313868800 is an abundant number, since it is smaller than the sum of its proper divisors (11217118449920).

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

4025313868800 is a wasteful number, since it uses less digits than its factorization.

4025313868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18756 (or 18733 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 4025313868800 in words is "four trillion, twenty-five billion, three hundred thirteen million, eight hundred sixty-eight thousand, eight hundred".