110409911040 has 576 divisors, whose sum is σ = 420592015872. Its totient is φ = 24330240000.

The previous prime is 110409911011. The next prime is 110409911083. The reversal of 110409911040 is 40119904011.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 110409910989 and 110409911007.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36789540 + ... + 36792540.

It is an arithmetic number, because the mean of its divisors is an integer number (730194472).

Almost surely, 2^110409911040 is an apocalyptic number.

110409911040 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 110409911040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210296007936).

110409911040 is an abundant number, since it is smaller than the sum of its proper divisors (310182104832).

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

110409911040 is a wasteful number, since it uses less digits than its factorization.

110409911040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3116 (or 3102 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The spelling of 110409911040 in words is "one hundred ten billion, four hundred nine million, nine hundred eleven thousand, forty".