323256810240 has 2160 divisors, whose sum is σ = 1500471947520. Its totient is φ = 63727534080.

The previous prime is 323256810221. The next prime is 323256810263. The reversal of 323256810240 is 42018652323.

323256810240 is a `hidden beast` number, since 32 + 32 + 568 + 10 + 24 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 323256810195 and 323256810204.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10427639025 + ... + 10427639055.

Almost surely, 2^323256810240 is an apocalyptic number.

323256810240 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 323256810240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750235973760).

323256810240 is an abundant number, since it is smaller than the sum of its proper divisors (1177215137280).

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

323256810240 is a wasteful number, since it uses less digits than its factorization.

323256810240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 323256810240 in words is "three hundred twenty-three billion, two hundred fifty-six million, eight hundred ten thousand, two hundred forty".