1314012400 has 60 divisors (see below), whose sum is σ = 3161174904. Its totient is φ = 524896000.

The previous prime is 1314012389. The next prime is 1314012409. The reversal of 1314012400 is 42104131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314012409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 374655 + ... + 378145.

Almost surely, 2^1314012400 is an apocalyptic number.

1314012400 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 1314012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580587452).

1314012400 is an abundant number, since it is smaller than the sum of its proper divisors (1847162504).

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

1314012400 is a wasteful number, since it uses less digits than its factorization.

1314012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4450 (or 4439 counting only the distinct ones).

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

The square root of 1314012400 is about 36249.3089589305. The cubic root of 1314012400 is about 1095.3001686066.

Adding to 1314012400 its reverse (42104131), we get a palindrome (1356116531).

The spelling of 1314012400 in words is "one billion, three hundred fourteen million, twelve thousand, four hundred".