1110080400 has 240 divisors, whose sum is σ = 4178274240. Its totient is φ = 248371200.

The previous prime is 1110080383. The next prime is 1110080407. The reversal of 1110080400 is 40800111.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1110080400.

It is not an unprimeable number, because it can be changed into a prime (1110080407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 168366 + ... + 174834.

It is an arithmetic number, because the mean of its divisors is an integer number (17409476).

Almost surely, 2^1110080400 is an apocalyptic number.

1110080400 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 1110080400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089137120).

1110080400 is an abundant number, since it is smaller than the sum of its proper divisors (3068193840).

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

1110080400 is a wasteful number, since it uses less digits than its factorization.

1110080400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6514 (or 6503 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 1110080400 is about 33317.8690795195. The cubic root of 1110080400 is about 1035.4238036629.

Adding to 1110080400 its reverse (40800111), we get a palindrome (1150880511).

The spelling of 1110080400 in words is "one billion, one hundred ten million, eighty thousand, four hundred".