1109957415840 has 3456 divisors, whose sum is σ = 5450689843200. Its totient is φ = 209227898880.

The previous prime is 1109957415839. The next prime is 1109957415881. The reversal of 1109957415840 is 485147599011.

1109957415840 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 9 + 57 + 4 + 1 + 584 + 0 = 666.

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

It is an unprimeable number.

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 575 ways as a sum of consecutive naturals, for example, 15633203005 + ... + 15633203075.

It is an arithmetic number, because the mean of its divisors is an integer number (1577167200).

Almost surely, 2^{1109957415840} is an apocalyptic number.

1109957415840 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 1109957415840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725344921600).

1109957415840 is an abundant number, since it is smaller than the sum of its proper divisors (4340732427360).

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

1109957415840 is a wasteful number, since it uses less digits than its factorization.

1109957415840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 54.

The spelling of 1109957415840 in words is "one trillion, one hundred nine billion, nine hundred fifty-seven million, four hundred fifteen thousand, eight hundred forty".