1314120400 has 120 divisors (see below), whose sum is σ = 3367920600. Its totient is φ = 491028480.

The previous prime is 1314120391. The next prime is 1314120439. The reversal of 1314120400 is 40214131.

It can be written as a sum of positive squares in 12 ways, for example, as 74235456 + 1239884944 = 8616^2 + 35212^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 1012552 + ... + 1013848.

It is an arithmetic number, because the mean of its divisors is an integer number (28066005).

Almost surely, 2^1314120400 is an apocalyptic number.

1314120400 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 1314120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683960300).

1314120400 is an abundant number, since it is smaller than the sum of its proper divisors (2053800200).

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

1314120400 is a wasteful number, since it uses less digits than its factorization.

1314120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1314120400 is about 36250.7986118927. The cubic root of 1314120400 is about 1095.3301757251.

Adding to 1314120400 its reverse (40214131), we get a palindrome (1354334531).

The spelling of 1314120400 in words is "one billion, three hundred fourteen million, one hundred twenty thousand, four hundred".