314979840000 has 1950 divisors, whose sum is σ = 1411881228384. Its totient is φ = 69672960000.

The previous prime is 314979839971. The next prime is 314979840047. The reversal of 314979840000 is 48979413.

314979840000 is a `hidden beast` number, since 31 + 497 + 98 + 40 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 10160639985 + ... + 10160640015.

Almost surely, 2^314979840000 is an apocalyptic number.

314979840000 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 314979840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705940614192).

314979840000 is an abundant number, since it is smaller than the sum of its proper divisors (1096901388384).

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

314979840000 is an frugal number, since it uses more digits than its factorization.

314979840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 314979840000 in words is "three hundred fourteen billion, nine hundred seventy-nine million, eight hundred forty thousand".