444141134114232 has 128 divisors (see below), whose sum is σ = 1138579618176000. Its totient is φ = 144290780712960.

The previous prime is 444141134114179. The next prime is 444141134114267. The reversal of 444141134114232 is 232411431141444.

It is a super-2 number, since 2×444141134114232² (a number of 30 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9062415744 + ... + 9062464752.

It is an arithmetic number, because the mean of its divisors is an integer number (8895153267000).

Almost surely, 2^{444141134114232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444141134114232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569289809088000).

444141134114232 is an abundant number, since it is smaller than the sum of its proper divisors (694438484061768).

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

444141134114232 is a wasteful number, since it uses less digits than its factorization.

444141134114232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58141 (or 58137 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

Adding to 444141134114232 its reverse (232411431141444), we get a palindrome (676552565255676).

The spelling of 444141134114232 in words is "four hundred forty-four trillion, one hundred forty-one billion, one hundred thirty-four million, one hundred fourteen thousand, two hundred thirty-two".