1334040400 has 120 divisors (see below), whose sum is σ = 3995976384. Its totient is φ = 415795200.

The previous prime is 1334040353. The next prime is 1334040413. The reversal of 1334040400 is 40404331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9144 + ... + 52456.

Almost surely, 2^1334040400 is an apocalyptic number.

1334040400 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 1334040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997988192).

1334040400 is an abundant number, since it is smaller than the sum of its proper divisors (2661935984).

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

1334040400 is a wasteful number, since it uses less digits than its factorization.

1334040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43349 (or 43338 counting only the distinct ones).

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

The square root of 1334040400 is about 36524.5177928470. The cubic root of 1334040400 is about 1100.8369388083.

Adding to 1334040400 its reverse (40404331), we get a palindrome (1374444731).

The spelling of 1334040400 in words is "one billion, three hundred thirty-four million, forty thousand, four hundred".