1144743840 has 144 divisors (see below), whose sum is σ = 4051258848. Its totient is φ = 305254656.

The previous prime is 1144743839. The next prime is 1144743857. The reversal of 1144743840 is 483474411.

It is a happy number.

1144743840 is a `hidden beast` number, since 114 + 474 + 38 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1144743795 and 1144743804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24159 + ... + 53601.

It is an arithmetic number, because the mean of its divisors is an integer number (28133742).

Almost surely, 2^1144743840 is an apocalyptic number.

1144743840 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 1144743840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025629424).

1144743840 is an abundant number, since it is smaller than the sum of its proper divisors (2906515008).

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

1144743840 is an equidigital number, since it uses as much as digits as its factorization.

1144743840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29473 (or 29453 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 1144743840 is about 33834.0633090381. The cubic root of 1144743840 is about 1046.0909343101.

The spelling of 1144743840 in words is "one billion, one hundred forty-four million, seven hundred forty-three thousand, eight hundred forty".