4025793172800 has 672 divisors, whose sum is σ = 16053324743680. Its totient is φ = 862750310400.

The previous prime is 4025793172787. The next prime is 4025793172823. The reversal of 4025793172800 is 82713975204.

It is a happy number.

4025793172800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

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 4025793172800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61892295 + ... + 61957305.

Almost surely, 2^{4025793172800} is an apocalyptic number.

4025793172800 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 4025793172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8026662371840).

4025793172800 is an abundant number, since it is smaller than the sum of its proper divisors (12027531570880).

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

4025793172800 is a wasteful number, since it uses less digits than its factorization.

4025793172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65159 (or 65144 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 4025793172800 in words is "four trillion, twenty-five billion, seven hundred ninety-three million, one hundred seventy-two thousand, eight hundred".