1143744000 has 640 divisors, whose sum is σ = 4657416192. Its totient is φ = 243302400.

The previous prime is 1143743989. The next prime is 1143744011. The reversal of 1143744000 is 4473411.

It is an interprime number because it is at equal distance from previous prime (1143743989) and next prime (1143744011).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30911982 + ... + 30912018.

Almost surely, 2^1143744000 is an apocalyptic number.

1143744000 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 1143744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328708096).

1143744000 is an abundant number, since it is smaller than the sum of its proper divisors (3513672192).

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

1143744000 is an equidigital number, since it uses as much as digits as its factorization.

1143744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 1143744000 is about 33819.2844395029. The cubic root of 1143744000 is about 1045.7862873430.

The spelling of 1143744000 in words is "one billion, one hundred forty-three million, seven hundred forty-four thousand".