110411110042240 has 256 divisors, whose sum is σ = 311785834291200. Its totient is φ = 36587515760640.

The previous prime is 110411110042237. The next prime is 110411110042267. The reversal of 110411110042240 is 42240011114011.

It is a super-4 number, since 4×110411110042240⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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, 108793471 + ... + 109803649.

It is an arithmetic number, because the mean of its divisors is an integer number (1217913415200).

Almost surely, 2^{110411110042240} is an apocalyptic number.

110411110042240 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 110411110042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155892917145600).

110411110042240 is an abundant number, since it is smaller than the sum of its proper divisors (201374724248960).

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

110411110042240 is a wasteful number, since it uses less digits than its factorization.

110411110042240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011023 (or 1011011 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 110411110042240 its reverse (42240011114011), we get a palindrome (152651121156251).

The spelling of 110411110042240 in words is "one hundred ten trillion, four hundred eleven billion, one hundred ten million, forty-two thousand, two hundred forty".