331094417228640 has 576 divisors, whose sum is σ = 1289009575107072. Its totient is φ = 76666576896000.

The previous prime is 331094417228611. The next prime is 331094417228711. The reversal of 331094417228640 is 46822714490133.

331094417228640 is a `hidden beast` number, since 3 + 3 + 1 + 0 + 94 + 417 + 22 + 86 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 620619610 + ... + 621152870.

It is an arithmetic number, because the mean of its divisors is an integer number (2237863845672).

Almost surely, 2^{331094417228640} is an apocalyptic number.

331094417228640 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 331094417228640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644504787553536).

331094417228640 is an abundant number, since it is smaller than the sum of its proper divisors (957915157878432).

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

331094417228640 is a wasteful number, since it uses less digits than its factorization.

331094417228640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535263 (or 535252 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 331094417228640 in words is "three hundred thirty-one trillion, ninety-four billion, four hundred seventeen million, two hundred twenty-eight thousand, six hundred forty".