100244444040 has 384 divisors, whose sum is σ = 360427747680. Its totient is φ = 24005836800.

The previous prime is 100244444039. The next prime is 100244444129. The reversal of 100244444040 is 40444442001.

100244444040 is a `hidden beast` number, since 10 + 0 + 244 + 4 + 4 + 404 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 7352376516 + 92892067524 = 85746^2 + 304782^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100244443995 and 100244444013.

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 95 ways as a sum of consecutive naturals, for example, 113784400 + ... + 113785280.

Almost surely, 2^100244444040 is an apocalyptic number.

100244444040 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 100244444040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180213873840).

100244444040 is an abundant number, since it is smaller than the sum of its proper divisors (260183303640).

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

100244444040 is a wasteful number, since it uses less digits than its factorization.

100244444040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 100244444040 its reverse (40444442001), we get a palindrome (140688886041).

The spelling of 100244444040 in words is "one hundred billion, two hundred forty-four million, four hundred forty-four thousand, forty".