110199398400 has 1680 divisors, whose sum is σ = 509319422304. Its totient is φ = 22932357120.

The previous prime is 110199398371. The next prime is 110199398417. The reversal of 110199398400 is 4893991011.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1509580764 + ... + 1509580836.

Almost surely, 2^110199398400 is an apocalyptic number.

110199398400 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 110199398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254659711152).

110199398400 is an abundant number, since it is smaller than the sum of its proper divisors (399120023904).

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

110199398400 is an equidigital number, since it uses as much as digits as its factorization.

110199398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 110199398400 in words is "one hundred ten billion, one hundred ninety-nine million, three hundred ninety-eight thousand, four hundred".