1442045525904 has 105 divisors (see below), whose sum is σ = 4189405290123. Its totient is φ = 480638611296.

The previous prime is 1442045525867. The next prime is 1442045525927. The reversal of 1442045525904 is 4095255402441.

The square root of 1442045525904 is 1200852.

It is a perfect power (a square), and thus also a powerful number.

1442045525904 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 0 + 4 + 5 + 52 + 590 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1442045525904.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 129686457 + ... + 129697575.

Almost surely, 2^{1442045525904} is an apocalyptic number.

1442045525904 is the 1200852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442045525904

1442045525904 is an abundant number, since it is smaller than the sum of its proper divisors (2747359764219).

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

1442045525904 is an frugal number, since it uses more digits than its factorization.

1442045525904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22264 (or 11124 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 1442045525904 in words is "one trillion, four hundred forty-two billion, forty-five million, five hundred twenty-five thousand, nine hundred four".