330428640153600 has 234 divisors, whose sum is σ = 1183524330095406. Its totient is φ = 88114303795200.

The previous prime is 330428640153593. The next prime is 330428640153653. The reversal of 330428640153600 is 6351046824033.

330428640153600 is a `hidden beast` number, since 3 + 3 + 0 + 4 + 28 + 6 + 4 + 0 + 15 + 3 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 72954010681344 + 257474629472256 = 8541312^2 + 16046016^2 .

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 178347411 + ... + 180190610.

It is an arithmetic number, because the mean of its divisors is an integer number (5057796282459).

Almost surely, 2^{330428640153600} is an apocalyptic number.

330428640153600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330428640153600 is an abundant number, since it is smaller than the sum of its proper divisors (853095689941806).

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

330428640153600 is a wasteful number, since it uses less digits than its factorization.

330428640153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358538061 (or 358538031 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

Adding to 330428640153600 its reverse (6351046824033), we get a palindrome (336779686977633).

The spelling of 330428640153600 in words is "three hundred thirty trillion, four hundred twenty-eight billion, six hundred forty million, one hundred fifty-three thousand, six hundred".