1090838860944 has 160 divisors (see below), whose sum is σ = 3332902871040. Its totient is φ = 300805747200.

The previous prime is 1090838860939. The next prime is 1090838860987. The reversal of 1090838860944 is 4490688380901.

It is a super-2 number, since 2×1090838860944² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27175449 + ... + 27215559.

It is an arithmetic number, because the mean of its divisors is an integer number (20830642944).

Almost surely, 2^{1090838860944} is an apocalyptic number.

1090838860944 is a gapful number since it is divisible by the number (14) 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 1090838860944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666451435520).

1090838860944 is an abundant number, since it is smaller than the sum of its proper divisors (2242064010096).

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

1090838860944 is a wasteful number, since it uses less digits than its factorization.

1090838860944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42949 (or 42943 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 60.

The spelling of 1090838860944 in words is "one trillion, ninety billion, eight hundred thirty-eight million, eight hundred sixty thousand, nine hundred forty-four".