1314400010 has 96 divisors (see below), whose sum is σ = 3033676800. Its totient is φ = 409553760.

The previous prime is 1314399997. The next prime is 1314400027. The reversal of 1314400010 is 100044131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 413447 + ... + 416613.

It is an arithmetic number, because the mean of its divisors is an integer number (31600800).

Almost surely, 2^1314400010 is an apocalyptic number.

1314400010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1314400010 is an abundant number, since it is smaller than the sum of its proper divisors (1719276790).

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

1314400010 is a wasteful number, since it uses less digits than its factorization.

1314400010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3217 (or 3192 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1314400010 is about 36254.6550114603. The cubic root of 1314400010 is about 1095.4078559618.

Adding to 1314400010 its reverse (100044131), we get a palindrome (1414444141).

The spelling of 1314400010 in words is "one billion, three hundred fourteen million, four hundred thousand, ten".