1334134400 has 96 divisors (see below), whose sum is σ = 3469346400. Its totient is φ = 505543680.

The previous prime is 1334134397. The next prime is 1334134423. The reversal of 1334134400 is 44314331.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49829 + ... + 71771.

It is an arithmetic number, because the mean of its divisors is an integer number (36139025).

Almost surely, 2^1334134400 is an apocalyptic number.

1334134400 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 1334134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734673200).

1334134400 is an abundant number, since it is smaller than the sum of its proper divisors (2135212000).

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

1334134400 is a wasteful number, since it uses less digits than its factorization.

1334134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21986 (or 21969 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 1334134400 is about 36525.8045770384. The cubic root of 1334134400 is about 1100.8627941577.

Adding to 1334134400 its reverse (44314331), we get a palindrome (1378448731).

The spelling of 1334134400 in words is "one billion, three hundred thirty-four million, one hundred thirty-four thousand, four hundred".