314214232640 has 672 divisors, whose sum is σ = 977786208000. Its totient is φ = 96036864000.

The previous prime is 314214232621. The next prime is 314214232697. The reversal of 314214232640 is 46232412413.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 314214232597 and 314214232606.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 783576440 + ... + 783576840.

It is an arithmetic number, because the mean of its divisors is an integer number (1455039000).

Almost surely, 2^314214232640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314214232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488893104000).

314214232640 is an abundant number, since it is smaller than the sum of its proper divisors (663571975360).

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

314214232640 is a wasteful number, since it uses less digits than its factorization.

314214232640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The spelling of 314214232640 in words is "three hundred fourteen billion, two hundred fourteen million, two hundred thirty-two thousand, six hundred forty".