1334104200 has 576 divisors, whose sum is σ = 5410903680. Its totient is φ = 290304000.

The previous prime is 1334104199. The next prime is 1334104217. The reversal of 1334104200 is 24014331.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18275364 + ... + 18275436.

It is an arithmetic number, because the mean of its divisors is an integer number (9393930).

Almost surely, 2^1334104200 is an apocalyptic number.

1334104200 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 1334104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2705451840).

1334104200 is an abundant number, since it is smaller than the sum of its proper divisors (4076799480).

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

1334104200 is a wasteful number, since it uses less digits than its factorization.

1334104200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 178 counting only the distinct ones).

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

The square root of 1334104200 is about 36525.3911683366. The cubic root of 1334104200 is about 1100.8544875715.

Adding to 1334104200 its reverse (24014331), we get a palindrome (1358118531).

The spelling of 1334104200 in words is "one billion, three hundred thirty-four million, one hundred four thousand, two hundred".