110496040668720 has 960 divisors, whose sum is σ = 450665685550080. Its totient is φ = 23684729536512.

The previous prime is 110496040668719. The next prime is 110496040668731. The reversal of 110496040668720 is 27866040694011.

110496040668720 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 9 + 604 + 0 + 6 + 6 + 8 + 7 + 20 = 666.

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 191 ways as a sum of consecutive naturals, for example, 42613203744 + ... + 42613206336.

It is an arithmetic number, because the mean of its divisors is an integer number (469443422448).

Almost surely, 2^{110496040668720} is an apocalyptic number.

110496040668720 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 110496040668720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225332842775040).

110496040668720 is an abundant number, since it is smaller than the sum of its proper divisors (340169644881360).

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

110496040668720 is a wasteful number, since it uses less digits than its factorization.

110496040668720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4242 (or 4233 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 110496040668720 in words is "one hundred ten trillion, four hundred ninety-six billion, forty million, six hundred sixty-eight thousand, seven hundred twenty".