325961798400 has 1296 divisors, whose sum is σ = 1405547851680. Its totient is φ = 73698508800.

The previous prime is 325961798363. The next prime is 325961798441. The reversal of 325961798400 is 4897169523.

325961798400 is a `hidden beast` number, since 3 + 2 + 596 + 1 + 7 + 9 + 8 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1160006260 + ... + 1160006540.

It is a 1-persistent number, because it is pandigital, but 2⋅325961798400 = 651923596800 is not.

Almost surely, 2^325961798400 is an apocalyptic number.

325961798400 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 325961798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702773925840).

325961798400 is an abundant number, since it is smaller than the sum of its proper divisors (1079586053280).

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

325961798400 is a wasteful number, since it uses less digits than its factorization.

325961798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 325961798400 in words is "three hundred twenty-five billion, nine hundred sixty-one million, seven hundred ninety-eight thousand, four hundred".