1314404400 has 120 divisors (see below), whose sum is σ = 4229015040. Its totient is φ = 348965120.

The previous prime is 1314404389. The next prime is 1314404411. The reversal of 1314404400 is 44044131.

It is an interprime number because it is at equal distance from previous prime (1314404389) and next prime (1314404411).

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284509 + ... + 289091.

It is an arithmetic number, because the mean of its divisors is an integer number (35241792).

Almost surely, 2^1314404400 is an apocalyptic number.

1314404400 is a gapful number since it is divisible by the number (10) 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 1314404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2114507520).

1314404400 is an abundant number, since it is smaller than the sum of its proper divisors (2914610640).

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

1314404400 is a wasteful number, since it uses less digits than its factorization.

1314404400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4843 (or 4832 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1314404400 is about 36254.7155553591. The cubic root of 1314404400 is about 1095.4090754879.

Adding to 1314404400 its reverse (44044131), we get a palindrome (1358448531).

The spelling of 1314404400 in words is "one billion, three hundred fourteen million, four hundred four thousand, four hundred".