325806455040 has 288 divisors, whose sum is σ = 1194886425600. Its totient is φ = 74826178560.

The previous prime is 325806455017. The next prime is 325806455071. The reversal of 325806455040 is 40554608523.

It is a super-2 number, since 2×325806455040² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 325806454983 and 325806455001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 599581 + ... + 1005539.

It is an arithmetic number, because the mean of its divisors is an integer number (4148911200).

Almost surely, 2^325806455040 is an apocalyptic number.

325806455040 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 325806455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597443212800).

325806455040 is an abundant number, since it is smaller than the sum of its proper divisors (869079970560).

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

325806455040 is a wasteful number, since it uses less digits than its factorization.

325806455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406013 (or 405999 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 325806455040 in words is "three hundred twenty-five billion, eight hundred six million, four hundred fifty-five thousand, forty".