1314440120 has 64 divisors (see below), whose sum is σ = 3384918720. Its totient is φ = 450008064.

The previous prime is 1314440107. The next prime is 1314440137. The reversal of 1314440120 is 210444131.

It is a super-2 number, since 2×1314440120² = 3455505658131228800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1314440092 and 1314440101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213404 + ... + 219476.

It is an arithmetic number, because the mean of its divisors is an integer number (52889355).

Almost surely, 2^1314440120 is an apocalyptic number.

1314440120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314440120 is an abundant number, since it is smaller than the sum of its proper divisors (2070478600).

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

1314440120 is a wasteful number, since it uses less digits than its factorization.

1314440120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6864 (or 6860 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1314440120 is about 36255.2081775846. The cubic root of 1314440120 is about 1095.4189982731.

Adding to 1314440120 its reverse (210444131), we get a palindrome (1524884251).

The spelling of 1314440120 in words is "one billion, three hundred fourteen million, four hundred forty thousand, one hundred twenty".