1314440400 has 240 divisors, whose sum is σ = 5182696064. Its totient is φ = 277309440.

The previous prime is 1314440381. The next prime is 1314440411. The reversal of 1314440400 is 40444131.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 103182 + ... + 115218.

Almost surely, 2^1314440400 is an apocalyptic number.

1314440400 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 1314440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2591348032).

1314440400 is an abundant number, since it is smaller than the sum of its proper divisors (3868255664).

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

1314440400 is a wasteful number, since it uses less digits than its factorization.

1314440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12078 (or 12067 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1314440400 is about 36255.2120390986. The cubic root of 1314440400 is about 1095.4190760546.

Adding to 1314440400 its reverse (40444131), we get a palindrome (1354884531).

The spelling of 1314440400 in words is "one billion, three hundred fourteen million, four hundred forty thousand, four hundred".