1143182721408 has 128 divisors (see below), whose sum is σ = 3737328241920. Its totient is φ = 301498730496.

The previous prime is 1143182721403. The next prime is 1143182721413. The reversal of 1143182721408 is 8041272813411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1143182721403) and next prime (1143182721413).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 1143182721408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1143182721403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16322410 + ... + 16392297.

It is an arithmetic number, because the mean of its divisors is an integer number (29197876890).

Almost surely, 2^{1143182721408} is an apocalyptic number.

It is an amenable number.

1143182721408 is an abundant number, since it is smaller than the sum of its proper divisors (2594145520512).

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

1143182721408 is a wasteful number, since it uses less digits than its factorization.

1143182721408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32714744 (or 32714732 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 1143182721408 in words is "one trillion, one hundred forty-three billion, one hundred eighty-two million, seven hundred twenty-one thousand, four hundred eight".