444312202420000 has 60 divisors (see below), whose sum is σ = 1093074664832766. Its totient is φ = 177724880960000.

The previous prime is 444312202419997. The next prime is 444312202420007. The reversal of 444312202420000 is 24202213444.

It can be written as a sum of positive squares in 5 ways, for example, as 82356859204624 + 361955343215376 = 9075068^2 + 19025124^2 .

It is a super-2 number, since 2×444312202420000² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (444312202420007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 11107785061 + ... + 11107825060.

Almost surely, 2^{444312202420000} is an apocalyptic number.

444312202420000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444312202420000 is an abundant number, since it is smaller than the sum of its proper divisors (648762462412766).

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

444312202420000 is an equidigital number, since it uses as much as digits as its factorization.

444312202420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22215610151 (or 22215610128 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 444312202420000 its reverse (24202213444), we get a palindrome (444336404633444).

The spelling of 444312202420000 in words is "four hundred forty-four trillion, three hundred twelve billion, two hundred two million, four hundred twenty thousand".