1132024440096 has 144 divisors (see below), whose sum is σ = 3512604408768. Its totient is φ = 342963878400.

The previous prime is 1132024440083. The next prime is 1132024440121. The reversal of 1132024440096 is 6900444202311.

1132024440096 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 0 + 244 + 400 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1132024440096.

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, 15699486 + ... + 15771426.

It is an arithmetic number, because the mean of its divisors is an integer number (24393086172).

Almost surely, 2^{1132024440096} is an apocalyptic number.

1132024440096 is a gapful number since it is divisible by the number (16) 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 1132024440096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756302204384).

1132024440096 is an abundant number, since it is smaller than the sum of its proper divisors (2380579968672).

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

1132024440096 is a wasteful number, since it uses less digits than its factorization.

1132024440096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76935 (or 76924 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 1132024440096 in words is "one trillion, one hundred thirty-two billion, twenty-four million, four hundred forty thousand, ninety-six".