444001012132000 has 96 divisors (see below), whose sum is σ = 1155081692091600. Its totient is φ = 167153322188800.

The previous prime is 444001012131979. The next prime is 444001012132019. The reversal of 444001012132000 is 231210100444.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5353059614224 + 438647952517776 = 2313668^2 + 20943924^2 .

It is a super-2 number, since 2×444001012132000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3264645325 + ... + 3264781324.

Almost surely, 2^{444001012132000} is an apocalyptic number.

444001012132000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444001012132000 is an abundant number, since it is smaller than the sum of its proper divisors (711080679959600).

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

444001012132000 is a wasteful number, since it uses less digits than its factorization.

444001012132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6529426691 (or 6529426673 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 444001012132000 its reverse (231210100444), we get a palindrome (444232222232444).

The spelling of 444001012132000 in words is "four hundred forty-four trillion, one billion, twelve million, one hundred thirty-two thousand".