1144008880 has 120 divisors (see below), whose sum is σ = 3276272448. Its totient is φ = 369137664.

The previous prime is 1144008857. The next prime is 1144008881. The reversal of 1144008880 is 888004411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (1144008881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58057 + ... + 75223.

Almost surely, 2^1144008880 is an apocalyptic number.

1144008880 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 1144008880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638136224).

1144008880 is an abundant number, since it is smaller than the sum of its proper divisors (2132263568).

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

1144008880 is a wasteful number, since it uses less digits than its factorization.

1144008880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17211 (or 17198 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 34.

The square root of 1144008880 is about 33823.2003216727. The cubic root of 1144008880 is about 1045.8670124267.

The spelling of 1144008880 in words is "one billion, one hundred forty-four million, eight thousand, eight hundred eighty".