110156416400 has 120 divisors (see below), whose sum is σ = 280408675464. Its totient is φ = 41442508800.

The previous prime is 110156416319. The next prime is 110156416411. The reversal of 110156416400 is 4614651011.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 13263668224 + 96892748176 = 115168^2 + 311276^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11915780 + ... + 11925020.

Almost surely, 2^110156416400 is an apocalyptic number.

110156416400 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 110156416400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140204337732).

110156416400 is an abundant number, since it is smaller than the sum of its proper divisors (170252259064).

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

110156416400 is a wasteful number, since it uses less digits than its factorization.

110156416400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11029 (or 11018 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The spelling of 110156416400 in words is "one hundred ten billion, one hundred fifty-six million, four hundred sixteen thousand, four hundred".