1131335214400 has 42 divisors (see below), whose sum is σ = 2783791715870. Its totient is φ = 452534085120.

The previous prime is 1131335214353. The next prime is 1131335214491. The reversal of 1131335214400 is 44125331311.

It can be written as a sum of positive squares in 3 ways, for example, as 15557073984 + 1115778140416 = 124728^2 + 1056304^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 353540655 + ... + 353543854.

Almost surely, 2^{1131335214400} is an apocalyptic number.

1131335214400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131335214400 is an abundant number, since it is smaller than the sum of its proper divisors (1652456501470).

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

1131335214400 is an equidigital number, since it uses as much as digits as its factorization.

1131335214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707084531 (or 707084516 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 1131335214400 in words is "one trillion, one hundred thirty-one billion, three hundred thirty-five million, two hundred fourteen thousand, four hundred".