325423181750400 has 3072 divisors, whose sum is σ = 1316098264320000. Its totient is φ = 78242335948800.

The previous prime is 325423181750369. The next prime is 325423181750423. The reversal of 325423181750400 is 4057181324523.

325423181750400 is a `hidden beast` number, since 3 + 2 + 5 + 4 + 231 + 8 + 1 + 7 + 5 + 0 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 525724041291 + ... + 525724041909.

It is an arithmetic number, because the mean of its divisors is an integer number (428417403750).

Almost surely, 2^{325423181750400} is an apocalyptic number.

325423181750400 is a gapful number since it is divisible by the number (30) 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 325423181750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658049132160000).

325423181750400 is an abundant number, since it is smaller than the sum of its proper divisors (990675082569600).

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

325423181750400 is a wasteful number, since it uses less digits than its factorization.

325423181750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 325423181750400 in words is "three hundred twenty-five trillion, four hundred twenty-three billion, one hundred eighty-one million, seven hundred fifty thousand, four hundred".