1334431140200 has 48 divisors (see below), whose sum is σ = 3117256539360. Its totient is φ = 531242712000.

The previous prime is 1334431140199. The next prime is 1334431140223. The reversal of 1334431140200 is 20411344331.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1334431140200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15768596 + ... + 15852995.

It is an arithmetic number, because the mean of its divisors is an integer number (64942844570).

Almost surely, 2^{1334431140200} is an apocalyptic number.

1334431140200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1334431140200 is an abundant number, since it is smaller than the sum of its proper divisors (1782825399160).

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

1334431140200 is a wasteful number, since it uses less digits than its factorization.

1334431140200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31621818 (or 31621809 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 1334431140200 its reverse (20411344331), we get a palindrome (1354842484531).

The spelling of 1334431140200 in words is "one trillion, three hundred thirty-four billion, four hundred thirty-one million, one hundred forty thousand, two hundred".