1334312144 has 40 divisors (see below), whose sum is σ = 2832140160. Its totient is φ = 603948800.

The previous prime is 1334312123. The next prime is 1334312171. The reversal of 1334312144 is 4412134331.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26204 + ... + 57924.

It is an arithmetic number, because the mean of its divisors is an integer number (70803504).

Almost surely, 2^1334312144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1334312144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416070080).

1334312144 is an abundant number, since it is smaller than the sum of its proper divisors (1497828016).

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

1334312144 is a wasteful number, since it uses less digits than its factorization.

1334312144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31979 (or 31973 counting only the distinct ones).

The product of its digits is 3456, while the sum is 26.

The square root of 1334312144 is about 36528.2376251579. The cubic root of 1334312144 is about 1100.9116805536.

Adding to 1334312144 its reverse (4412134331), we get a palindrome (5746446475).

The spelling of 1334312144 in words is "one billion, three hundred thirty-four million, three hundred twelve thousand, one hundred forty-four".