1143560557440 has 1536 divisors, whose sum is σ = 5121529344000. Its totient is φ = 239535636480.

The previous prime is 1143560557439. The next prime is 1143560557453. The reversal of 1143560557440 is 447550653411.

It is a happy number.

1143560557440 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 56 + 0 + 557 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 498716934 + ... + 498719226.

It is an arithmetic number, because the mean of its divisors is an integer number (3334329000).

Almost surely, 2^{1143560557440} is an apocalyptic number.

1143560557440 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 1143560557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560764672000).

1143560557440 is an abundant number, since it is smaller than the sum of its proper divisors (3977968786560).

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

1143560557440 is a wasteful number, since it uses less digits than its factorization.

1143560557440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 1143560557440 in words is "one trillion, one hundred forty-three billion, five hundred sixty million, five hundred fifty-seven thousand, four hundred forty".