109442165040 has 960 divisors, whose sum is σ = 431653622400. Its totient is φ = 25583910912.

The previous prime is 109442165039. The next prime is 109442165099. The reversal of 109442165040 is 40561244901.

109442165040 is a `hidden beast` number, since 10 + 9 + 442 + 165 + 0 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 109442164986 and 109442165004.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 798847852 + ... + 798847988.

It is an arithmetic number, because the mean of its divisors is an integer number (449639190).

Almost surely, 2^109442165040 is an apocalyptic number.

109442165040 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 109442165040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215826811200).

109442165040 is an abundant number, since it is smaller than the sum of its proper divisors (322211457360).

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

109442165040 is a wasteful number, since it uses less digits than its factorization.

109442165040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 109442165040 in words is "one hundred nine billion, four hundred forty-two million, one hundred sixty-five thousand, forty".