110404042440000 has 560 divisors, whose sum is σ = 367578293544000. Its totient is φ = 29235335168000.

The previous prime is 110404042439987. The next prime is 110404042440011. The reversal of 110404042440000 is 44240404011.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17119556776 + ... + 17119563224.

It is an arithmetic number, because the mean of its divisors is an integer number (656389809900).

Almost surely, 2^{110404042440000} is an apocalyptic number.

110404042440000 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 110404042440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183789146772000).

110404042440000 is an abundant number, since it is smaller than the sum of its proper divisors (257174251104000).

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

110404042440000 is an equidigital number, since it uses as much as digits as its factorization.

110404042440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7460 (or 7435 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 110404042440000 its reverse (44240404011), we get a palindrome (110448282844011).

The spelling of 110404042440000 in words is "one hundred ten trillion, four hundred four billion, forty-two million, four hundred forty thousand".