10004414332240 has 160 divisors (see below), whose sum is σ = 25516500768000. Its totient is φ = 3630965366784.

The previous prime is 10004414332229. The next prime is 10004414332303. The reversal of 10004414332240 is 4223341440001.

It is a super-2 number, since 2×10004414332240² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10004414332199 and 10004414332208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25798501 + ... + 26183419.

It is an arithmetic number, because the mean of its divisors is an integer number (159478129800).

Almost surely, 2^{10004414332240} is an apocalyptic number.

10004414332240 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 10004414332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12758250384000).

10004414332240 is an abundant number, since it is smaller than the sum of its proper divisors (15512086435760).

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

10004414332240 is a wasteful number, since it uses less digits than its factorization.

10004414332240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385637 (or 385631 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 10004414332240 its reverse (4223341440001), we get a palindrome (14227755772241).

The spelling of 10004414332240 in words is "ten trillion, four billion, four hundred fourteen million, three hundred thirty-two thousand, two hundred forty".