1133133344400 has 120 divisors (see below), whose sum is σ = 3754969577280. Its totient is φ = 291749265920.

The previous prime is 1133133344393. The next prime is 1133133344417. The reversal of 1133133344400 is 44433313311.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1133133344400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16245852 + ... + 16315451.

It is an arithmetic number, because the mean of its divisors is an integer number (31291413144).

Almost surely, 2^{1133133344400} is an apocalyptic number.

1133133344400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1133133344400 is an abundant number, since it is smaller than the sum of its proper divisors (2621836232880).

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

1133133344400 is a wasteful number, since it uses less digits than its factorization.

1133133344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32561353 (or 32561342 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 1133133344400 its reverse (44433313311), we get a palindrome (1177566657711).

The spelling of 1133133344400 in words is "one trillion, one hundred thirty-three billion, one hundred thirty-three million, three hundred forty-four thousand, four hundred".