110344340400 has 120 divisors (see below), whose sum is σ = 403965406464. Its totient is φ = 25221561600.

The previous prime is 110344340389. The next prime is 110344340413. The reversal of 110344340400 is 4043443011.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×110344340400² (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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6559716 + ... + 6576515.

Almost surely, 2^110344340400 is an apocalyptic number.

110344340400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110344340400 is an abundant number, since it is smaller than the sum of its proper divisors (293621066064).

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

110344340400 is a wasteful number, since it uses less digits than its factorization.

110344340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13136259 (or 13136248 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 110344340400 its reverse (4043443011), we get a palindrome (114387783411).

The spelling of 110344340400 in words is "one hundred ten billion, three hundred forty-four million, three hundred forty thousand, four hundred".