444033142432 has 96 divisors (see below), whose sum is σ = 967682649024. Its totient is φ = 200544664320.

The previous prime is 444033142411. The next prime is 444033142457. The reversal of 444033142432 is 234241330444.

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, 6653743 + ... + 6720145.

It is an arithmetic number, because the mean of its divisors is an integer number (10080027594).

Almost surely, 2^444033142432 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 444033142432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483841324512).

444033142432 is an abundant number, since it is smaller than the sum of its proper divisors (523649506592).

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

444033142432 is a wasteful number, since it uses less digits than its factorization.

444033142432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66603 (or 66573 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 444033142432 its reverse (234241330444), we get a palindrome (678274472876).

The spelling of 444033142432 in words is "four hundred forty-four billion, thirty-three million, one hundred forty-two thousand, four hundred thirty-two".