1334131344 has 160 divisors (see below), whose sum is σ = 4713309440. Its totient is φ = 351848448.

The previous prime is 1334131339. The next prime is 1334131369. The reversal of 1334131344 is 4431314331.

1334131344 is a `hidden beast` number, since 1 + 3 + 341 + 313 + 4 + 4 = 666.

It is a super-4 number, since 4×1334131344⁴ (a number of 38 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22344 + ... + 56280.

It is an arithmetic number, because the mean of its divisors is an integer number (29458184).

Almost surely, 2^1334131344 is an apocalyptic number.

1334131344 is a gapful number since it is divisible by the number (14) 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 1334131344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356654720).

1334131344 is an abundant number, since it is smaller than the sum of its proper divisors (3379178096).

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

1334131344 is a wasteful number, since it uses less digits than its factorization.

1334131344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33974 (or 33962 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 1334131344 is about 36525.7627435759. The cubic root of 1334131344 is about 1100.8619536029.

Adding to 1334131344 its reverse (4431314331), we get a palindrome (5765445675).

The spelling of 1334131344 in words is "one billion, three hundred thirty-four million, one hundred thirty-one thousand, three hundred forty-four".