1334120400 has 180 divisors, whose sum is σ = 4689372480. Its totient is φ = 351187200.

The previous prime is 1334120393. The next prime is 1334120401. The reversal of 1334120400 is 40214331.

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 not an unprimeable number, because it can be changed into a prime (1334120401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 282055 + ... + 286745.

Almost surely, 2^1334120400 is an apocalyptic number.

1334120400 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 1334120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344686240).

1334120400 is an abundant number, since it is smaller than the sum of its proper divisors (3355252080).

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

1334120400 is a wasteful number, since it uses less digits than its factorization.

1334120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4794 (or 4780 counting only the distinct ones).

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

The square root of 1334120400 is about 36525.6129312021. The cubic root of 1334120400 is about 1100.8589434379.

Adding to 1334120400 its reverse (40214331), we get a palindrome (1374334731).

The spelling of 1334120400 in words is "one billion, three hundred thirty-four million, one hundred twenty thousand, four hundred".