1153181733040 has 160 divisors (see below), whose sum is σ = 2747067426432. Its totient is φ = 450078720000.

The previous prime is 1153181733017. The next prime is 1153181733091. The reversal of 1153181733040 is 403371813511.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 835033150 + ... + 835034530.

Almost surely, 2^{1153181733040} is an apocalyptic number.

1153181733040 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 1153181733040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373533713216).

1153181733040 is an abundant number, since it is smaller than the sum of its proper divisors (1593885693392).

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

1153181733040 is a wasteful number, since it uses less digits than its factorization.

1153181733040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 1153181733040 in words is "one trillion, one hundred fifty-three billion, one hundred eighty-one million, seven hundred thirty-three thousand, forty".