44131433100 has 144 divisors (see below), whose sum is σ = 129242227968. Its totient is φ = 11625672960.

The previous prime is 44131433077. The next prime is 44131433117. The reversal of 44131433100 is 133413144.

It is a super-2 number, since 2×44131433100² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12741969 + ... + 12745431.

It is an arithmetic number, because the mean of its divisors is an integer number (897515472).

Almost surely, 2^44131433100 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 44131433100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64621113984).

44131433100 is an abundant number, since it is smaller than the sum of its proper divisors (85110794868).

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

44131433100 is a wasteful number, since it uses less digits than its factorization.

44131433100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3984 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 44131433100 its reverse (133413144), we get a palindrome (44264846244).

The spelling of 44131433100 in words is "forty-four billion, one hundred thirty-one million, four hundred thirty-three thousand, one hundred".