1314412400 has 240 divisors, whose sum is σ = 3926415360. Its totient is φ = 412646400.

The previous prime is 1314412397. The next prime is 1314412403. The reversal of 1314412400 is 42144131.

It is an interprime number because it is at equal distance from previous prime (1314412397) and next prime (1314412403).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314412403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1648802 + ... + 1649598.

It is an arithmetic number, because the mean of its divisors is an integer number (16360064).

Almost surely, 2^1314412400 is an apocalyptic number.

1314412400 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 1314412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963207680).

1314412400 is an abundant number, since it is smaller than the sum of its proper divisors (2612002960).

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

1314412400 is a wasteful number, since it uses less digits than its factorization.

1314412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 861 counting only the distinct ones).

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

The square root of 1314412400 is about 36254.8258856666. The cubic root of 1314412400 is about 1095.4112978518.

Adding to 1314412400 its reverse (42144131), we get a palindrome (1356556531).

The spelling of 1314412400 in words is "one billion, three hundred fourteen million, four hundred twelve thousand, four hundred".