1132130638400 has 126 divisors (see below), whose sum is σ = 2855358029430. Its totient is φ = 441806028800.

The previous prime is 1132130638361. The next prime is 1132130638409. The reversal of 1132130638400 is 48360312311.

It can be written as a sum of positive squares in 9 ways, for example, as 1038719718976 + 93410919424 = 1019176^2 + 305632^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1132130638409) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 2479136 + ... + 2900064.

Almost surely, 2^{1132130638400} is an apocalyptic number.

1132130638400 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 1132130638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427679014715).

1132130638400 is an abundant number, since it is smaller than the sum of its proper divisors (1723227391030).

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

1132130638400 is an equidigital number, since it uses as much as digits as its factorization.

1132130638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421033 (or 420977 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 1132130638400 in words is "one trillion, one hundred thirty-two billion, one hundred thirty million, six hundred thirty-eight thousand, four hundred".