314017890480 has 1600 divisors, whose sum is σ = 1372052183040. Its totient is φ = 64990937088.

The previous prime is 314017890463. The next prime is 314017890491. The reversal of 314017890480 is 84098710413.

It is a happy number.

314017890480 is a `hidden beast` number, since 3 + 14 + 0 + 1 + 78 + 90 + 480 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2934746587 + ... + 2934746693.

Almost surely, 2^314017890480 is an apocalyptic number.

314017890480 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 314017890480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686026091520).

314017890480 is an abundant number, since it is smaller than the sum of its proper divisors (1058034292560).

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

314017890480 is a wasteful number, since it uses less digits than its factorization.

314017890480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 314017890480 in words is "three hundred fourteen billion, seventeen million, eight hundred ninety thousand, four hundred eighty".