840564036144 has 120 divisors (see below), whose sum is σ = 2688963207840. Its totient is φ = 240117156864.

The previous prime is 840564036133. The next prime is 840564036203. The reversal of 840564036144 is 441630465048.

840564036144 is a `hidden beast` number, since 8 + 40 + 564 + 0 + 3 + 6 + 1 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 840564036144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5640804 + ... + 5787900.

It is an arithmetic number, because the mean of its divisors is an integer number (22408026732).

Almost surely, 2^840564036144 is an apocalyptic number.

840564036144 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

840564036144 is an abundant number, since it is smaller than the sum of its proper divisors (1848399171696).

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

840564036144 is a wasteful number, since it uses less digits than its factorization.

840564036144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152787 (or 152778 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 840564036144 in words is "eight hundred forty billion, five hundred sixty-four million, thirty-six thousand, one hundred forty-four".