444022224400 has 30 divisors (see below), whose sum is σ = 1066763395082. Its totient is φ = 177608889600.

The previous prime is 444022224397. The next prime is 444022224413. The reversal of 444022224400 is 4422220444.

It can be written as a sum of positive squares in 3 ways, for example, as 127926398224 + 316095826176 = 357668^2 + 562224^2 .

It is a super-2 number, since 2×444022224400² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 555027381 + ... + 555028180.

Almost surely, 2^444022224400 is an apocalyptic number.

444022224400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444022224400 is an abundant number, since it is smaller than the sum of its proper divisors (622741170682).

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

444022224400 is a wasteful number, since it uses less digits than its factorization.

444022224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110055579 (or 1110055568 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 444022224400 its reverse (4422220444), we get a palindrome (448444444844).

The spelling of 444022224400 in words is "four hundred forty-four billion, twenty-two million, two hundred twenty-four thousand, four hundred".