1133431104400 has 60 divisors (see below), whose sum is σ = 3112077982912. Its totient is φ = 388604949120.

The previous prime is 1133431104383. The next prime is 1133431104457. The reversal of 1133431104400 is 44011343311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 11 ways as a sum of consecutive naturals, for example, 202395612 + ... + 202401211.

Almost surely, 2^{1133431104400} is an apocalyptic number.

1133431104400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1133431104400 is an abundant number, since it is smaller than the sum of its proper divisors (1978646878512).

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

1133431104400 is a wasteful number, since it uses less digits than its factorization.

1133431104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404796848 (or 404796837 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 1133431104400 its reverse (44011343311), we get a palindrome (1177442447711).

The spelling of 1133431104400 in words is "one trillion, one hundred thirty-three billion, four hundred thirty-one million, one hundred four thousand, four hundred".