1144000440 has 192 divisors, whose sum is σ = 4187289600. Its totient is φ = 268358400.

The previous prime is 1144000399. The next prime is 1144000483. The reversal of 1144000440 is 440004411.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 118101 + ... + 127419.

It is an arithmetic number, because the mean of its divisors is an integer number (21808800).

Almost surely, 2^1144000440 is an apocalyptic number.

1144000440 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 1144000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2093644800).

1144000440 is an abundant number, since it is smaller than the sum of its proper divisors (3043289160).

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

1144000440 is a wasteful number, since it uses less digits than its factorization.

1144000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9378 (or 9371 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1144000440 is about 33823.0755550113. The cubic root of 1144000440 is about 1045.8644404363.

Adding to 1144000440 its reverse (440004411), we get a palindrome (1584004851).

It can be divided in two parts, 1 and 144000440, that added together give a palindrome (144000441).

The spelling of 1144000440 in words is "one billion, one hundred forty-four million, four hundred forty", and thus it is an aban number.