1334204400 has 120 divisors (see below), whose sum is σ = 4314259584. Its totient is φ = 352428800.

The previous prime is 1334204371. The next prime is 1334204407. The reversal of 1334204400 is 44024331.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334204407) 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 23 ways as a sum of consecutive naturals, for example, 123205 + ... + 133595.

Almost surely, 2^1334204400 is an apocalyptic number.

1334204400 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 1334204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157129792).

1334204400 is an abundant number, since it is smaller than the sum of its proper divisors (2980055184).

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

1334204400 is a wasteful number, since it uses less digits than its factorization.

1334204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10519 (or 10508 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 1334204400 is about 36526.7627911371. The cubic root of 1334204400 is about 1100.8820473523.

Adding to 1334204400 its reverse (44024331), we get a palindrome (1378228731).

The spelling of 1334204400 in words is "one billion, three hundred thirty-four million, two hundred four thousand, four hundred".