325413809233920 has 1792 divisors, whose sum is σ = 1298646364815360. Its totient is φ = 76626631065600.

The previous prime is 325413809233859. The next prime is 325413809233927. The reversal of 325413809233920 is 29332908314523.

325413809233920 is a `hidden beast` number, since 3 + 2 + 5 + 4 + 1 + 380 + 9 + 233 + 9 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (325413809233927) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 99912128932 + ... + 99912132188.

Almost surely, 2^{325413809233920} is an apocalyptic number.

325413809233920 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 325413809233920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649323182407680).

325413809233920 is an abundant number, since it is smaller than the sum of its proper divisors (973232555581440).

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

325413809233920 is a wasteful number, since it uses less digits than its factorization.

325413809233920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3542 (or 3512 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 325413809233920 in words is "three hundred twenty-five trillion, four hundred thirteen billion, eight hundred nine million, two hundred thirty-three thousand, nine hundred twenty".