1144391040 has 768 divisors, whose sum is σ = 4811788800. Its totient is φ = 247726080.

The previous prime is 1144391029. The next prime is 1144391051. The reversal of 1144391040 is 401934411.

It is an interprime number because it is at equal distance from previous prime (1144391029) and next prime (1144391051).

It is a junction number, because it is equal to n+sod(n) for n = 1144390995 and 1144391013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36915825 + ... + 36915855.

It is an arithmetic number, because the mean of its divisors is an integer number (6265350).

Almost surely, 2^1144391040 is an apocalyptic number.

1144391040 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 1144391040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405894400).

1144391040 is an abundant number, since it is smaller than the sum of its proper divisors (3667397760).

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

1144391040 is a wasteful number, since it uses less digits than its factorization.

1144391040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1144391040 is about 33828.8492266586. The cubic root of 1144391040 is about 1045.9834579214.

The spelling of 1144391040 in words is "one billion, one hundred forty-four million, three hundred ninety-one thousand, forty".