325964114400 has 576 divisors, whose sum is σ = 1140407009280. Its totient is φ = 80673331200.

The previous prime is 325964114387. The next prime is 325964114419. The reversal of 325964114400 is 4411469523.

325964114400 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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, 453357241 + ... + 453357959.

It is an arithmetic number, because the mean of its divisors is an integer number (1979873280).

Almost surely, 2^325964114400 is an apocalyptic number.

325964114400 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 325964114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570203504640).

325964114400 is an abundant number, since it is smaller than the sum of its proper divisors (814442894880).

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

325964114400 is a wasteful number, since it uses less digits than its factorization.

325964114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 325964114400 in words is "three hundred twenty-five billion, nine hundred sixty-four million, one hundred fourteen thousand, four hundred".