1334012400 has 180 divisors, whose sum is σ = 5290835472. Its totient is φ = 304911360.

The previous prime is 1334012341. The next prime is 1334012413. The reversal of 1334012400 is 42104331.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1269 + ... + 51668.

Almost surely, 2^1334012400 is an apocalyptic number.

1334012400 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 1334012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2645417736).

1334012400 is an abundant number, since it is smaller than the sum of its proper divisors (3956823072).

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

1334012400 is a wasteful number, since it uses less digits than its factorization.

1334012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52968 (or 52954 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1334012400 is about 36524.1344866651. The cubic root of 1334012400 is about 1100.8292369801.

Adding to 1334012400 its reverse (42104331), we get a palindrome (1376116731).

The spelling of 1334012400 in words is "one billion, three hundred thirty-four million, twelve thousand, four hundred".