1330694400 has 216 divisors, whose sum is σ = 5019442624. Its totient is φ = 304128000.

The previous prime is 1330694369. The next prime is 1330694411. The reversal of 1330694400 is 44960331.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 129450 + ... + 139350.

Almost surely, 2^1330694400 is an apocalyptic number.

1330694400 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 1330694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509721312).

1330694400 is an abundant number, since it is smaller than the sum of its proper divisors (3688748224).

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

1330694400 is an equidigital number, since it uses as much as digits as its factorization.

1330694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9937 (or 9918 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 1330694400 is about 36478.6841867960. The cubic root of 1330694400 is about 1099.9158062282.

The spelling of 1330694400 in words is "one billion, three hundred thirty million, six hundred ninety-four thousand, four hundred".