24444020010100 has 144 divisors (see below), whose sum is σ = 56845232922240. Its totient is φ = 9102943168000.

The previous prime is 24444020010097. The next prime is 24444020010121. The reversal of 24444020010100 is 101002044442.

It is a super-5 number, since 5×24444020010100⁵ (a number of 68 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 12813954 + ... + 14597446.

It is an arithmetic number, because the mean of its divisors is an integer number (394758561960).

Almost surely, 2^{24444020010100} is an apocalyptic number.

24444020010100 is a gapful number since it is divisible by the number (20) 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 24444020010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28422616461120).

24444020010100 is an abundant number, since it is smaller than the sum of its proper divisors (32401212912140).

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

24444020010100 is a wasteful number, since it uses less digits than its factorization.

24444020010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783690 (or 1783683 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 24444020010100 its reverse (101002044442), we get a palindrome (24545022054542).

The spelling of 24444020010100 in words is "twenty-four trillion, four hundred forty-four billion, twenty million, ten thousand, one hundred".