314051552640 has 1152 divisors, whose sum is σ = 1307961626400. Its totient is φ = 69189894144.

The previous prime is 314051552623. The next prime is 314051552783. The reversal of 314051552640 is 46255150413.

314051552640 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 5 + 1 + 5 + 5 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 314051552595 and 314051552604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1371404046 + ... + 1371404274.

Almost surely, 2^314051552640 is an apocalyptic number.

314051552640 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 314051552640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653980813200).

314051552640 is an abundant number, since it is smaller than the sum of its proper divisors (993910073760).

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

314051552640 is a wasteful number, since it uses less digits than its factorization.

314051552640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 314051552640 in words is "three hundred fourteen billion, fifty-one million, five hundred fifty-two thousand, six hundred forty".