110410012411040 has 192 divisors, whose sum is σ = 266499480240000. Its totient is φ = 43213785378816.

The previous prime is 110410012411007. The next prime is 110410012411079. The reversal of 110410012411040 is 40114210014011.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2025881711 + ... + 2025936209.

It is an arithmetic number, because the mean of its divisors is an integer number (1388018126250).

Almost surely, 2^{110410012411040} is an apocalyptic number.

110410012411040 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 110410012411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133249740120000).

110410012411040 is an abundant number, since it is smaller than the sum of its proper divisors (156089467828960).

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

110410012411040 is a wasteful number, since it uses less digits than its factorization.

110410012411040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55567 (or 55559 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 110410012411040 its reverse (40114210014011), we get a palindrome (150524222425051).

The spelling of 110410012411040 in words is "one hundred ten trillion, four hundred ten billion, twelve million, four hundred eleven thousand, forty".