1334114431120 has 80 divisors (see below), whose sum is σ = 3111015726000. Its totient is φ = 532064139264.

The previous prime is 1334114431081. The next prime is 1334114431201. The reversal of 1334114431120 is 211344114331.

It can be written as a sum of positive squares in 8 ways, for example, as 8088484096 + 1326025947024 = 89936^2 + 1151532^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1334114431120² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96745186 + ... + 96758974.

It is an arithmetic number, because the mean of its divisors is an integer number (38887696575).

Almost surely, 2^{1334114431120} is an apocalyptic number.

1334114431120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1334114431120 is an abundant number, since it is smaller than the sum of its proper divisors (1776901294880).

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

1334114431120 is a wasteful number, since it uses less digits than its factorization.

1334114431120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17300 (or 17294 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 1334114431120 its reverse (211344114331), we get a palindrome (1545458545451).

The spelling of 1334114431120 in words is "one trillion, three hundred thirty-four billion, one hundred fourteen million, four hundred thirty-one thousand, one hundred twenty".