1314720000 has 540 divisors, whose sum is σ = 5229688464. Its totient is φ = 314880000.

The previous prime is 1314719983. The next prime is 1314720019. The reversal of 1314720000 is 274131.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15839959 + ... + 15840041.

Almost surely, 2^1314720000 is an apocalyptic number.

1314720000 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 1314720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614844232).

1314720000 is an abundant number, since it is smaller than the sum of its proper divisors (3914968464).

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

1314720000 is an equidigital number, since it uses as much as digits as its factorization.

1314720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1314720000 is about 36259.0678313715. The cubic root of 1314720000 is about 1095.4967409072.

Adding to 1314720000 its reverse (274131), we get a palindrome (1314994131).

The spelling of 1314720000 in words is "one billion, three hundred fourteen million, seven hundred twenty thousand".