1110144400 has 60 divisors (see below), whose sum is σ = 2673398212. Its totient is φ = 443013120.

The previous prime is 1110144397. The next prime is 1110144433. The reversal of 1110144400 is 44410111.

It can be written as a sum of positive squares in 6 ways, for example, as 97377424 + 1012766976 = 9868^2 + 31824^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 179764 + ... + 185836.

Almost surely, 2^1110144400 is an apocalyptic number.

1110144400 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 1110144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336699106).

1110144400 is an abundant number, since it is smaller than the sum of its proper divisors (1563253812).

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

1110144400 is a wasteful number, since it uses less digits than its factorization.

1110144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6548 (or 6537 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1110144400 is about 33318.8295112538. The cubic root of 1110144400 is about 1035.4437018762.

Adding to 1110144400 its reverse (44410111), we get a palindrome (1154554511).

The spelling of 1110144400 in words is "one billion, one hundred ten million, one hundred forty-four thousand, four hundred".