1142768844000 has 384 divisors, whose sum is σ = 4753921536000. Its totient is φ = 261204134400.

The previous prime is 1142768843921. The next prime is 1142768844017. The reversal of 1142768844000 is 4488672411.

1142768844000 is a `hidden beast` number, since 1 + 142 + 7 + 68 + 8 + 440 + 0 + 0 = 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201 + ... + 1511799.

It is an arithmetic number, because the mean of its divisors is an integer number (12380004000).

Almost surely, 2^{1142768844000} is an apocalyptic number.

1142768844000 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 1142768844000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376960768000).

1142768844000 is an abundant number, since it is smaller than the sum of its proper divisors (3611152692000).

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

1142768844000 is a wasteful number, since it uses less digits than its factorization.

1142768844000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511640 (or 1511616 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 1142768844000 in words is "one trillion, one hundred forty-two billion, seven hundred sixty-eight million, eight hundred forty-four thousand".