314513502515040 has 96 divisors (see below), whose sum is σ = 993556265637600. Its totient is φ = 83629951340544.

The previous prime is 314513502515011. The next prime is 314513502515057. The reversal of 314513502515040 is 40515205315413.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×314513502515040³ (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 314513502515040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 938566669 + ... + 938901708.

It is an arithmetic number, because the mean of its divisors is an integer number (10349544433725).

Almost surely, 2^{314513502515040} is an apocalyptic number.

314513502515040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314513502515040 is an abundant number, since it is smaller than the sum of its proper divisors (679042763122560).

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

314513502515040 is a wasteful number, since it uses less digits than its factorization.

314513502515040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877468744 (or 1877468736 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 39.

The spelling of 314513502515040 in words is "three hundred fourteen trillion, five hundred thirteen billion, five hundred two million, five hundred fifteen thousand, forty".