1334440900 has 81 divisors (see below), whose sum is σ = 3146818773. Its totient is φ = 490963200.

The previous prime is 1334440799. The next prime is 1334440909. The reversal of 1334440900 is 90444331.

The square root of 1334440900 is 36530.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 1099983556 + 234457344 = 33166^2 + 15312^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1334440909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4748760 + ... + 4749040.

Almost surely, 2^1334440900 is an apocalyptic number.

1334440900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1334440900 is the 36530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1334440900

1334440900 is an abundant number, since it is smaller than the sum of its proper divisors (1812377873).

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

1334440900 is a wasteful number, since it uses less digits than its factorization.

1334440900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The cubic root of 1334440900 is about 1100.9470906650.

Multiplying 1334440900 by its product of nonzero digits (5184), we get a square (6917741625600 = 2630160²).

The spelling of 1334440900 in words is "one billion, three hundred thirty-four million, four hundred forty thousand, nine hundred".