444270786263824 has 45 divisors (see below), whose sum is σ = 932083723497279. Its totient is φ = 205047549333120.

The previous prime is 444270786263813. The next prime is 444270786263849. The reversal of 444270786263824 is 428362687072444.

It is a happy number.

The square root of 444270786263824 is 21077732.

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

It can be written as a sum of positive squares in 4 ways, for example, as 27227732720400 + 417043053543424 = 5218020^2 + 20421632^2 .

It is a super-2 number, since 2×444270786263824² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 444270786263824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1095839394 + ... + 1096244734.

Almost surely, 2^{444270786263824} is an apocalyptic number.

444270786263824 is the 21077732-nd square number.

It is an amenable number.

444270786263824 is an abundant number, since it is smaller than the sum of its proper divisors (487812937233455).

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

444270786263824 is an frugal number, since it uses more digits than its factorization.

444270786263824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810716 (or 405356 counting only the distinct ones).

The product of its (nonzero) digits is 693633024, while the sum is 67.

The spelling of 444270786263824 in words is "four hundred forty-four trillion, two hundred seventy billion, seven hundred eighty-six million, two hundred sixty-three thousand, eight hundred twenty-four".