314330104014000 has 160 divisors (see below), whose sum is σ = 1013597017228224. Its totient is φ = 83805086310400.

The previous prime is 314330104013957. The next prime is 314330104014013. The reversal of 314330104014000 is 410401033413.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25834714 + ... + 36001286.

Almost surely, 2^{314330104014000} is an apocalyptic number.

314330104014000 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 314330104014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506798508614112).

314330104014000 is an abundant number, since it is smaller than the sum of its proper divisors (699266913214224).

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

314330104014000 is a wasteful number, since it uses less digits than its factorization.

314330104014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10171752 (or 10171736 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 314330104014000 its reverse (410401033413), we get a palindrome (314740505047413).

The spelling of 314330104014000 in words is "three hundred fourteen trillion, three hundred thirty billion, one hundred four million, fourteen thousand".