1144053760 has 224 divisors, whose sum is σ = 3057460992. Its totient is φ = 408944640.

The previous prime is 1144053739. The next prime is 1144053761. The reversal of 1144053760 is 673504411.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144053761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21585894 + ... + 21585946.

Almost surely, 2^1144053760 is an apocalyptic number.

1144053760 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 1144053760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528730496).

1144053760 is an abundant number, since it is smaller than the sum of its proper divisors (1913407232).

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

1144053760 is an equidigital number, since it uses as much as digits as its factorization.

1144053760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 1144053760 is about 33823.8637650993. The cubic root of 1144053760 is about 1045.8806888641.

The spelling of 1144053760 in words is "one billion, one hundred forty-four million, fifty-three thousand, seven hundred sixty".