331333412041440 has 288 divisors, whose sum is σ = 1260195347567520. Its totient is φ = 78781442752512.

The previous prime is 331333412041439. The next prime is 331333412041487. The reversal of 331333412041440 is 44140214333133.

331333412041440 is a `hidden beast` number, since 3 + 3 + 1 + 3 + 3 + 3 + 4 + 1 + 204 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 331333412041395 and 331333412041404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 355715449 + ... + 356645688.

It is an arithmetic number, because the mean of its divisors is an integer number (4375678290165).

Almost surely, 2^{331333412041440} is an apocalyptic number.

331333412041440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331333412041440 is an abundant number, since it is smaller than the sum of its proper divisors (928861935526080).

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

331333412041440 is a wasteful number, since it uses less digits than its factorization.

331333412041440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712361194 (or 712361183 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 331333412041440 its reverse (44140214333133), we get a palindrome (375473626374573).

The spelling of 331333412041440 in words is "three hundred thirty-one trillion, three hundred thirty-three billion, four hundred twelve million, forty-one thousand, four hundred forty".