1330404400 has 60 divisors (see below), whose sum is σ = 3442178992. Its totient is φ = 491224320.

The previous prime is 1330404379. The next prime is 1330404409. The reversal of 1330404400 is 44040331.

It is not an unprimeable number, because it can be changed into a prime (1330404409) 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, 122724 + ... + 133123.

Almost surely, 2^1330404400 is an apocalyptic number.

1330404400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1330404400 is an abundant number, since it is smaller than the sum of its proper divisors (2111774592).

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

1330404400 is a wasteful number, since it uses less digits than its factorization.

1330404400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255878 (or 255867 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 1330404400 is about 36474.7090461322. The cubic root of 1330404400 is about 1099.8358983850.

Adding to 1330404400 its reverse (44040331), we get a palindrome (1374444731).

The spelling of 1330404400 in words is "one billion, three hundred thirty million, four hundred four thousand, four hundred".