10010440004200 has 48 divisors (see below), whose sum is σ = 23282619331500. Its totient is φ = 4002740075520.

The previous prime is 10010440004161. The next prime is 10010440004209. The reversal of 10010440004200 is 240004401001.

It can be written as a sum of positive squares in 6 ways, for example, as 2698942979716 + 7311497024484 = 1642846^2 + 2703978^2 .

It is not an unprimeable number, because it can be changed into a prime (10010440004209) 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, 8415345 + ... + 9530944.

Almost surely, 2^{10010440004200} is an apocalyptic number.

10010440004200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010440004200 is an abundant number, since it is smaller than the sum of its proper divisors (13272179327300).

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

10010440004200 is a wasteful number, since it uses less digits than its factorization.

10010440004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17949094 (or 17949085 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10010440004200 its reverse (240004401001), we get a palindrome (10250444405201).

The spelling of 10010440004200 in words is "ten trillion, ten billion, four hundred forty million, four thousand, two hundred".