1144140000 has 120 divisors (see below), whose sum is σ = 3753204840. Its totient is φ = 305088000.

The previous prime is 1144139993. The next prime is 1144140047. The reversal of 1144140000 is 414411.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50466 + ... + 69534.

It is an arithmetic number, because the mean of its divisors is an integer number (31276707).

Almost surely, 2^1144140000 is an apocalyptic number.

1144140000 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 1144140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876602420).

1144140000 is an abundant number, since it is smaller than the sum of its proper divisors (2609064840).

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

1144140000 is an equidigital number, since it uses as much as digits as its factorization.

1144140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19102 (or 19079 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1144140000 is about 33825.1385806474. The cubic root of 1144140000 is about 1045.9069680733.

Adding to 1144140000 its reverse (414411), we get a palindrome (1144554411).

The spelling of 1144140000 in words is "one billion, one hundred forty-four million, one hundred forty thousand".