1142003036160 has 1248 divisors, whose sum is σ = 4887109693440. Its totient is φ = 240888840192.

The previous prime is 1142003036123. The next prime is 1142003036177. The reversal of 1142003036160 is 616303002411.

1142003036160 is a `hidden beast` number, since 1 + 1 + 42 + 0 + 0 + 3 + 0 + 3 + 616 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 860589417 + ... + 860590743.

It is an arithmetic number, because the mean of its divisors is an integer number (3915953280).

Almost surely, 2^{1142003036160} is an apocalyptic number.

1142003036160 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 1142003036160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2443554846720).

1142003036160 is an abundant number, since it is smaller than the sum of its proper divisors (3745106657280).

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

1142003036160 is a wasteful number, since it uses less digits than its factorization.

1142003036160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 1142003036160 its reverse (616303002411), we get a palindrome (1758306038571).

The spelling of 1142003036160 in words is "one trillion, one hundred forty-two billion, three million, thirty-six thousand, one hundred sixty".