840225223044 has 81 divisors (see below), whose sum is σ = 2183385640527. Its totient is φ = 272439479808.

The previous prime is 840225223031. The next prime is 840225223063. The reversal of 840225223044 is 440322522048.

The square root of 840225223044 is 916638.

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

840225223044 is a `hidden beast` number, since 8 + 40 + 22 + 522 + 30 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 199085516100 + 641139706944 = 446190^2 + 800712^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 26 ways as a sum of consecutive naturals, for example, 203491572 + ... + 203495700.

Almost surely, 2^840225223044 is an apocalyptic number.

840225223044 is the 916638-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 840225223044

840225223044 is an abundant number, since it is smaller than the sum of its proper divisors (1343160417483).

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

840225223044 is an equidigital number, since it uses as much as digits as its factorization.

840225223044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8342 (or 4171 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Multiplying 840225223044 by its sum of digits (36), we get a square (30248108029584 = 5499828²).

840225223044 divided by its sum of digits (36) gives a square (23339589529 = 152773²).

The spelling of 840225223044 in words is "eight hundred forty billion, two hundred twenty-five million, two hundred twenty-three thousand, forty-four".