110951114040 has 640 divisors, whose sum is σ = 443783007360. Its totient is φ = 24583274496.

The previous prime is 110951113991. The next prime is 110951114041. The reversal of 110951114040 is 40411159011.

110951114040 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 511 + 140 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 110951113995 and 110951114013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110951114041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16465552 + ... + 16472288.

It is an arithmetic number, because the mean of its divisors is an integer number (693410949).

Almost surely, 2^110951114040 is an apocalyptic number.

110951114040 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 110951114040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221891503680).

110951114040 is an abundant number, since it is smaller than the sum of its proper divisors (332831893320).

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

110951114040 is a wasteful number, since it uses less digits than its factorization.

110951114040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6813 (or 6800 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The spelling of 110951114040 in words is "one hundred ten billion, nine hundred fifty-one million, one hundred fourteen thousand, forty".