314013330400 has 144 divisors (see below), whose sum is σ = 955742578560. Its totient is φ = 97874265600.

The previous prime is 314013330359. The next prime is 314013330403. The reversal of 314013330400 is 4033310413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314013330403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2487210 + ... + 2610409.

It is an arithmetic number, because the mean of its divisors is an integer number (6637101240).

Almost surely, 2^314013330400 is an apocalyptic number.

It is an amenable number.

314013330400 is an abundant number, since it is smaller than the sum of its proper divisors (641729248160).

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

314013330400 is a wasteful number, since it uses less digits than its factorization.

314013330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5097657 (or 5097644 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 314013330400 its reverse (4033310413), we get a palindrome (318046640813).

The spelling of 314013330400 in words is "three hundred fourteen billion, thirteen million, three hundred thirty thousand, four hundred".