10444101424432 has 80 divisors (see below), whose sum is σ = 21960891912960. Its totient is φ = 4783008672000.

The previous prime is 10444101424409. The next prime is 10444101424439. The reversal of 10444101424432 is 23442410144401.

It is not an unprimeable number, because it can be changed into a prime (10444101424439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 325842807 + ... + 325874857.

It is an arithmetic number, because the mean of its divisors is an integer number (274511148912).

Almost surely, 2^{10444101424432} 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 10444101424432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10980445956480).

10444101424432 is an abundant number, since it is smaller than the sum of its proper divisors (11516790488528).

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

10444101424432 is a wasteful number, since it uses less digits than its factorization.

10444101424432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44162 (or 44156 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

Adding to 10444101424432 its reverse (23442410144401), we get a palindrome (33886511568833).

The spelling of 10444101424432 in words is "ten trillion, four hundred forty-four billion, one hundred one million, four hundred twenty-four thousand, four hundred thirty-two".