1143555840 has 576 divisors, whose sum is σ = 4827110400. Its totient is φ = 250822656.

The previous prime is 1143555817. The next prime is 1143555841. The reversal of 1143555840 is 485553411.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 1143555795 and 1143555804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1143555841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7015599 + ... + 7015761.

It is an arithmetic number, because the mean of its divisors is an integer number (8380400).

Almost surely, 2^1143555840 is an apocalyptic number.

1143555840 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 1143555840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413555200).

1143555840 is an abundant number, since it is smaller than the sum of its proper divisors (3683554560).

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

1143555840 is a wasteful number, since it uses less digits than its factorization.

1143555840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 1143555840 is about 33816.5024802980. The cubic root of 1143555840 is about 1045.7289359486.

The spelling of 1143555840 in words is "one billion, one hundred forty-three million, five hundred fifty-five thousand, eight hundred forty".