314110321400 has 96 divisors (see below), whose sum is σ = 732764037600. Its totient is φ = 125222092800.

The previous prime is 314110321379. The next prime is 314110321409. The reversal of 314110321400 is 4123011413.

It is a super-2 number, since 2×314110321400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314110321409) 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, 93455720 + ... + 93459080.

It is an arithmetic number, because the mean of its divisors is an integer number (7632958725).

Almost surely, 2^314110321400 is an apocalyptic number.

It is an amenable number.

314110321400 is an abundant number, since it is smaller than the sum of its proper divisors (418653716200).

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

314110321400 is a wasteful number, since it uses less digits than its factorization.

314110321400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4809 (or 4800 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 314110321400 its reverse (4123011413), we get a palindrome (318233332813).

The spelling of 314110321400 in words is "three hundred fourteen billion, one hundred ten million, three hundred twenty-one thousand, four hundred".