314413016340 has 24 divisors (see below), whose sum is σ = 880356445920. Its totient is φ = 83843471008.

The previous prime is 314413016327. The next prime is 314413016399. The reversal of 314413016340 is 43610314413.

It is a super-3 number, since 3×314413016340³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 314413016298 and 314413016307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2620108410 + ... + 2620108529.

It is an arithmetic number, because the mean of its divisors is an integer number (36681518580).

Almost surely, 2^314413016340 is an apocalyptic number.

314413016340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314413016340 is an abundant number, since it is smaller than the sum of its proper divisors (565943429580).

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

314413016340 is a wasteful number, since it uses less digits than its factorization.

314413016340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5240216951 (or 5240216949 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 314413016340 in words is "three hundred fourteen billion, four hundred thirteen million, sixteen thousand, three hundred forty".