1314400140 has 72 divisors (see below), whose sum is σ = 4084280928. Its totient is φ = 341955840.

The previous prime is 1314400127. The next prime is 1314400141. The reversal of 1314400140 is 410044131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1314400141) 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, 81672 + ... + 96431.

It is an arithmetic number, because the mean of its divisors is an integer number (56726124).

Almost surely, 2^1314400140 is an apocalyptic number.

1314400140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314400140 is an abundant number, since it is smaller than the sum of its proper divisors (2769880788).

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

1314400140 is a wasteful number, since it uses less digits than its factorization.

1314400140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178159 (or 178154 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1314400140 is about 36254.6568043334. The cubic root of 1314400140 is about 1095.4078920754.

Adding to 1314400140 its reverse (410044131), we get a palindrome (1724444271).

The spelling of 1314400140 in words is "one billion, three hundred fourteen million, four hundred thousand, one hundred forty".