444132031232034 has 12 divisors (see below), whose sum is σ = 962286067669446. Its totient is φ = 148044010410672.

The previous prime is 444132031232033. The next prime is 444132031232069. The reversal of 444132031232034 is 430232130231444.

444132031232034 is a `hidden beast` number, since 4 + 4 + 4 + 1 + 320 + 3 + 1 + 2 + 320 + 3 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 433369347125625 + 10762684106409 = 20817525^2 + 3280653^2 .

It is a super-2 number, since 2×444132031232034² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 444132031232034.

It is not an unprimeable number, because it can be changed into a prime (444132031232033) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12337000867539 + ... + 12337000867574.

Almost surely, 2^{444132031232034} is an apocalyptic number.

444132031232034 is an abundant number, since it is smaller than the sum of its proper divisors (518154036437412).

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

444132031232034 is a wasteful number, since it uses less digits than its factorization.

444132031232034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24674001735121 (or 24674001735118 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 444132031232034 its reverse (430232130231444), we get a palindrome (874364161463478).

The spelling of 444132031232034 in words is "four hundred forty-four trillion, one hundred thirty-two billion, thirty-one million, two hundred thirty-two thousand, thirty-four".