442725221376 has 297 divisors, whose sum is σ = 1329523640341. Its totient is φ = 141890101248.

The previous prime is 442725221363. The next prime is 442725221399. The reversal of 442725221376 is 673122527244.

The square root of 442725221376 is 665376.

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

442725221376 is a `hidden beast` number, since 4 + 4 + 2 + 7 + 252 + 21 + 376 = 666.

It can be written as a sum of positive squares in only one way, i.e., 232154366976 + 210570854400 = 481824^2 + 458880^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1852406665 + ... + 1852406903.

Almost surely, 2^442725221376 is an apocalyptic number.

442725221376 is the 665376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442725221376

442725221376 is an abundant number, since it is smaller than the sum of its proper divisors (886798418965).

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

442725221376 is an equidigital number, since it uses as much as digits as its factorization.

442725221376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 273 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The spelling of 442725221376 in words is "four hundred forty-two billion, seven hundred twenty-five million, two hundred twenty-one thousand, three hundred seventy-six".