5444442132100 has 144 divisors (see below), whose sum is σ = 12704306872320. Its totient is φ = 2018711030400.

The previous prime is 5444442132097. The next prime is 5444442132133. The reversal of 5444442132100 is 12312444445.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 491769565 + ... + 491780635.

It is an arithmetic number, because the mean of its divisors is an integer number (88224353280).

Almost surely, 2^{5444442132100} is an apocalyptic number.

5444442132100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5444442132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6352153436160).

5444442132100 is an abundant number, since it is smaller than the sum of its proper divisors (7259864740220).

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

5444442132100 is a wasteful number, since it uses less digits than its factorization.

5444442132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16658 (or 16651 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 34.

Adding to 5444442132100 its reverse (12312444445), we get a palindrome (5456754576545).

The spelling of 5444442132100 in words is "five trillion, four hundred forty-four billion, four hundred forty-two million, one hundred thirty-two thousand, one hundred".