10444040100 has 576 divisors, whose sum is σ = 40002439680. Its totient is φ = 2311372800.

The previous prime is 10444040011. The next prime is 10444040161. The reversal of 10444040100 is 104044401.

10444040100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10444040100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 191 ways as a sum of consecutive naturals, for example, 13723720 + ... + 13724480.

It is an arithmetic number, because the mean of its divisors is an integer number (69448680).

Almost surely, 2^10444040100 is an apocalyptic number.

10444040100 is a gapful number since it is divisible by the number (10) 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 10444040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20001219840).

10444040100 is an abundant number, since it is smaller than the sum of its proper divisors (29558399580).

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

10444040100 is a wasteful number, since it uses less digits than its factorization.

10444040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10444040100 its reverse (104044401), we get a palindrome (10548084501).

The spelling of 10444040100 in words is "ten billion, four hundred forty-four million, forty thousand, one hundred".