110055404400 has 60 divisors (see below), whose sum is σ = 352544149272. Its totient is φ = 29348107520.

The previous prime is 110055404399. The next prime is 110055404401. The reversal of 110055404400 is 4404550011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (110055404399) and next prime (110055404401).

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×110055404400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110055404401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45855219 + ... + 45857618.

Almost surely, 2^110055404400 is an apocalyptic number.

110055404400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110055404400 is an abundant number, since it is smaller than the sum of its proper divisors (242488744872).

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

110055404400 is a wasteful number, since it uses less digits than its factorization.

110055404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91712858 (or 91712847 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

Adding to 110055404400 its reverse (4404550011), we get a palindrome (114459954411).

The spelling of 110055404400 in words is "one hundred ten billion, fifty-five million, four hundred four thousand, four hundred".