110480630400 has 576 divisors, whose sum is σ = 467246969280. Its totient is φ = 25251471360.

The previous prime is 110480630369. The next prime is 110480630401. The reversal of 110480630400 is 4036084011.

110480630400 is a `hidden beast` number, since 110 + 480 + 6 + 30 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (110480630401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5433052 + ... + 5453348.

It is an arithmetic number, because the mean of its divisors is an integer number (811192655).

Almost surely, 2^110480630400 is an apocalyptic number.

110480630400 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 110480630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233623484640).

110480630400 is an abundant number, since it is smaller than the sum of its proper divisors (356766338880).

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

110480630400 is an equidigital number, since it uses as much as digits as its factorization.

110480630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20343 (or 20314 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 110480630400 in words is "one hundred ten billion, four hundred eighty million, six hundred thirty thousand, four hundred".