110400042120 has 128 divisors (see below), whose sum is σ = 341179344000. Its totient is φ = 28562171904.

The previous prime is 110400042047. The next prime is 110400042121. The reversal of 110400042120 is 21240004011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 110400042120.

It is not an unprimeable number, because it can be changed into a prime (110400042121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 697044 + ... + 840636.

It is an arithmetic number, because the mean of its divisors is an integer number (2665463625).

Almost surely, 2^110400042120 is an apocalyptic number.

110400042120 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 110400042120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170589672000).

110400042120 is an abundant number, since it is smaller than the sum of its proper divisors (230779301880).

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

110400042120 is a wasteful number, since it uses less digits than its factorization.

110400042120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143799 (or 143795 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 110400042120 its reverse (21240004011), we get a palindrome (131640046131).

The spelling of 110400042120 in words is "one hundred ten billion, four hundred million, forty-two thousand, one hundred twenty".