110344442204400 has 480 divisors, whose sum is σ = 363271577131008. Its totient is φ = 28622079974400.

The previous prime is 110344442204357. The next prime is 110344442204489. The reversal of 110344442204400 is 4402244443011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2675450179 + ... + 2675491421.

Almost surely, 2^{110344442204400} is an apocalyptic number.

110344442204400 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 110344442204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181635788565504).

110344442204400 is an abundant number, since it is smaller than the sum of its proper divisors (252927134926608).

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

110344442204400 is a wasteful number, since it uses less digits than its factorization.

110344442204400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41749 (or 41738 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 110344442204400 its reverse (4402244443011), we get a palindrome (114746686647411).

The spelling of 110344442204400 in words is "one hundred ten trillion, three hundred forty-four billion, four hundred forty-two million, two hundred four thousand, four hundred".