1090941157728 has 96 divisors (see below), whose sum is σ = 3205137690720. Its totient is φ = 360992655360.

The previous prime is 1090941157703. The next prime is 1090941157751. The reversal of 1090941157728 is 8277511490901.

1090941157728 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 9 + 41 + 1 + 577 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4489893 + ... + 4726628.

It is an arithmetic number, because the mean of its divisors is an integer number (33386850945).

Almost surely, 2^{1090941157728} is an apocalyptic number.

1090941157728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1090941157728 is an abundant number, since it is smaller than the sum of its proper divisors (2114196532992).

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

1090941157728 is a wasteful number, since it uses less digits than its factorization.

1090941157728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9216677 (or 9216663 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 54.

The spelling of 1090941157728 in words is "one trillion, ninety billion, nine hundred forty-one million, one hundred fifty-seven thousand, seven hundred twenty-eight".