314132409077760 has 624 divisors, whose sum is σ = 1340134739658624. Its totient is φ = 66278482771968.

The previous prime is 314132409077731. The next prime is 314132409077771. The reversal of 314132409077760 is 67770904231413.

It is a happy number.

314132409077760 is a `hidden beast` number, since 3 + 1 + 413 + 2 + 4 + 0 + 90 + 77 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a junction number, because it is equal to n+sod(n) for n = 314132409077697 and 314132409077706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7408959 + ... + 26137281.

It is an arithmetic number, because the mean of its divisors is an integer number (2147651826376).

Almost surely, 2^{314132409077760} is an apocalyptic number.

314132409077760 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 314132409077760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670067369829312).

314132409077760 is an abundant number, since it is smaller than the sum of its proper divisors (1026002330580864).

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

314132409077760 is a wasteful number, since it uses less digits than its factorization.

314132409077760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18728378 (or 18728353 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 314132409077760 in words is "three hundred fourteen trillion, one hundred thirty-two billion, four hundred nine million, seventy-seven thousand, seven hundred sixty".