1144120400 has 60 divisors (see below), whose sum is σ = 2910457692. Its totient is φ = 430725120.

The previous prime is 1144120399. The next prime is 1144120421. The reversal of 1144120400 is 40214411.

1144120400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 15429184 + 1128691216 = 3928^2 + 33596^2 .

It is a super-2 number, since 2×1144120400² = 2618022979392320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77327 + ... + 90926.

Almost surely, 2^1144120400 is an apocalyptic number.

1144120400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144120400 is an abundant number, since it is smaller than the sum of its proper divisors (1766337292).

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

1144120400 is a wasteful number, since it uses less digits than its factorization.

1144120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168288 (or 168277 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 1144120400 is about 33824.8488540599. The cubic root of 1144120400 is about 1045.9009956418.

Adding to 1144120400 its reverse (40214411), we get a palindrome (1184334811).

The spelling of 1144120400 in words is "one billion, one hundred forty-four million, one hundred twenty thousand, four hundred".