10000441011220 has 36 divisors (see below), whose sum is σ = 23083662604212. Its totient is φ = 3636524003200.

The previous prime is 10000441011193. The next prime is 10000441011221. The reversal of 10000441011220 is 2211014400001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5148624207364 + 4851816803856 = 2269058^2 + 2202684^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10000441011194 and 10000441011203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000441011221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2066204401 + ... + 2066209240.

It is an arithmetic number, because the mean of its divisors is an integer number (641212850117).

Almost surely, 2^{10000441011220} is an apocalyptic number.

10000441011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000441011220 is an abundant number, since it is smaller than the sum of its proper divisors (13083221592992).

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

10000441011220 is a wasteful number, since it uses less digits than its factorization.

10000441011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4132413672 (or 4132413659 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10000441011220 its reverse (2211014400001), we get a palindrome (12211455411221).

The spelling of 10000441011220 in words is "ten trillion, four hundred forty-one million, eleven thousand, two hundred twenty".