110516742400 has 108 divisors (see below), whose sum is σ = 279908442352. Its totient is φ = 43178526720.

The previous prime is 110516742389. The next prime is 110516742403. The reversal of 110516742400 is 4247615011.

It is not an unprimeable number, because it can be changed into a prime (110516742403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74407 + ... + 475993.

Almost surely, 2^110516742400 is an apocalyptic number.

110516742400 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 110516742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139954221176).

110516742400 is an abundant number, since it is smaller than the sum of its proper divisors (169391699952).

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

110516742400 is an equidigital number, since it uses as much as digits as its factorization.

110516742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401656 (or 401637 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The spelling of 110516742400 in words is "one hundred ten billion, five hundred sixteen million, seven hundred forty-two thousand, four hundred".