110042324400 has 240 divisors, whose sum is σ = 365998003200. Its totient is φ = 28232217600.

The previous prime is 110042324387. The next prime is 110042324411. The reversal of 110042324400 is 4423240011.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6427051 + ... + 6444149.

It is an arithmetic number, because the mean of its divisors is an integer number (1524991680).

Almost surely, 2^110042324400 is an apocalyptic number.

110042324400 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 110042324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182999001600).

110042324400 is an abundant number, since it is smaller than the sum of its proper divisors (255955678800).

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

110042324400 is a wasteful number, since it uses less digits than its factorization.

110042324400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17324 (or 17313 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 110042324400 its reverse (4423240011), we get a palindrome (114465564411).

The spelling of 110042324400 in words is "one hundred ten billion, forty-two million, three hundred twenty-four thousand, four hundred".