30441444042100 has 144 divisors (see below), whose sum is σ = 81341723602048. Its totient is φ = 9629516597760.

The previous prime is 30441444042083. The next prime is 30441444042109. The reversal of 30441444042100 is 124044414403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30441444042109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17867587 + ... + 19497013.

Almost surely, 2^{30441444042100} 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 30441444042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40670861801024).

30441444042100 is an abundant number, since it is smaller than the sum of its proper divisors (50900279559948).

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

30441444042100 is a wasteful number, since it uses less digits than its factorization.

30441444042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631514 (or 1631507 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 30441444042100 its reverse (124044414403), we get a palindrome (30565488456503).

It can be divided in two parts, 3044144 and 4042100, that added together give a square (7086244 = 2662²).

The spelling of 30441444042100 in words is "thirty trillion, four hundred forty-one billion, four hundred forty-four million, forty-two thousand, one hundred".