1144114400 has 288 divisors, whose sum is σ = 3350598048. Its totient is φ = 376012800.

The previous prime is 1144114379. The next prime is 1144114417. The reversal of 1144114400 is 44114411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8351132 + ... + 8351268.

It is an arithmetic number, because the mean of its divisors is an integer number (11634021).

Almost surely, 2^1144114400 is an apocalyptic number.

1144114400 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 1144114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675299024).

1144114400 is an abundant number, since it is smaller than the sum of its proper divisors (2206483648).

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

1144114400 is a wasteful number, since it uses less digits than its factorization.

1144114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 1144114400 is about 33824.7601617513. The cubic root of 1144114400 is about 1045.8991673327.

Adding to 1144114400 its reverse (44114411), we get a palindrome (1188228811).

It can be divided in two parts, 114411 and 4400, that added together give a palindrome (118811).

The spelling of 1144114400 in words is "one billion, one hundred forty-four million, one hundred fourteen thousand, four hundred".