1132413134400 has 336 divisors, whose sum is σ = 4131597406080. Its totient is φ = 301718476800.

The previous prime is 1132413134399. The next prime is 1132413134429. The reversal of 1132413134400 is 44313142311.

1132413134400 is a `hidden beast` number, since 1 + 1 + 3 + 241 + 3 + 13 + 4 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53427805 + ... + 53448995.

Almost surely, 2^{1132413134400} is an apocalyptic number.

1132413134400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132413134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065798703040).

1132413134400 is an abundant number, since it is smaller than the sum of its proper divisors (2999184271680).

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

1132413134400 is a wasteful number, since it uses less digits than its factorization.

1132413134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22459 (or 22438 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1132413134400 its reverse (44313142311), we get a palindrome (1176726276711).

The spelling of 1132413134400 in words is "one trillion, one hundred thirty-two billion, four hundred thirteen million, one hundred thirty-four thousand, four hundred".