314239393520640 has 1584 divisors, whose sum is σ = 1315139391925632. Its totient is φ = 71737118982144.

The previous prime is 314239393520623. The next prime is 314239393520659. The reversal of 314239393520640 is 46025393932413.

314239393520640 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 3 + 9 + 393 + 5 + 206 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57732753759 + ... + 57732759201.

Almost surely, 2^{314239393520640} is an apocalyptic number.

314239393520640 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 314239393520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657569695962816).

314239393520640 is an abundant number, since it is smaller than the sum of its proper divisors (1000899998404992).

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

314239393520640 is an equidigital number, since it uses as much as digits as its factorization.

314239393520640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6444 (or 6407 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 54.

The spelling of 314239393520640 in words is "three hundred fourteen trillion, two hundred thirty-nine billion, three hundred ninety-three million, five hundred twenty thousand, six hundred forty".