1143920766720 has 288 divisors, whose sum is σ = 3782304429120. Its totient is φ = 294298583040.

The previous prime is 1143920766673. The next prime is 1143920766727. The reversal of 1143920766720 is 276670293411.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1143920766720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1143920766727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180511392 + ... + 180517728.

It is an arithmetic number, because the mean of its divisors is an integer number (13133001490).

Almost surely, 2^{1143920766720} is an apocalyptic number.

1143920766720 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 1143920766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1891152214560).

1143920766720 is an abundant number, since it is smaller than the sum of its proper divisors (2638383662400).

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

1143920766720 is a wasteful number, since it uses less digits than its factorization.

1143920766720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8011 (or 7997 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 1143920766720 in words is "one trillion, one hundred forty-three billion, nine hundred twenty million, seven hundred sixty-six thousand, seven hundred twenty".