314995977379440 has 320 divisors, whose sum is σ = 1241490877593600. Its totient is φ = 71911594008576.

The previous prime is 314995977379399. The next prime is 314995977379477. The reversal of 314995977379440 is 44973779599413.

It is a happy number.

314995977379440 is a `hidden beast` number, since 3 + 1 + 4 + 99 + 59 + 7 + 7 + 37 + 9 + 440 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 314995977379440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 213025 + ... + 25100544.

It is an arithmetic number, because the mean of its divisors is an integer number (3879658992480).

Almost surely, 2^{314995977379440} is an apocalyptic number.

314995977379440 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 314995977379440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620745438796800).

314995977379440 is an abundant number, since it is smaller than the sum of its proper divisors (926494900214160).

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

314995977379440 is a wasteful number, since it uses less digits than its factorization.

314995977379440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25314421 (or 25314409 counting only the distinct ones).

The product of its (nonzero) digits is 6481218240, while the sum is 81.

The spelling of 314995977379440 in words is "three hundred fourteen trillion, nine hundred ninety-five billion, nine hundred seventy-seven million, three hundred seventy-nine thousand, four hundred forty".