4440100244040 has 192 divisors, whose sum is σ = 14582458341360. Its totient is φ = 1171549716480.

The previous prime is 4440100244039. The next prime is 4440100244057. The reversal of 4440100244040 is 404420010444.

4440100244040 is a `hidden beast` number, since 44 + 40 + 100 + 2 + 440 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2072373301476 + 2367726942564 = 1439574^2 + 1538742^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4440100243995 and 4440100244013.

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, 184400482 + ... + 184424558.

Almost surely, 2^{4440100244040} is an apocalyptic number.

4440100244040 is a gapful number since it is divisible by the number (40) 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 4440100244040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7291229170680).

4440100244040 is an abundant number, since it is smaller than the sum of its proper divisors (10142358097320).

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

4440100244040 is a wasteful number, since it uses less digits than its factorization.

4440100244040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29472 (or 29465 counting only the distinct ones).

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

Adding to 4440100244040 its reverse (404420010444), we get a palindrome (4844520254484).

The spelling of 4440100244040 in words is "four trillion, four hundred forty billion, one hundred million, two hundred forty-four thousand, forty".