10004414412320 has 48 divisors (see below), whose sum is σ = 23643182064600. Its totient is φ = 4000453085184.

The previous prime is 10004414412313. The next prime is 10004414412371. The reversal of 10004414412320 is 2321441440001.

It can be written as a sum of positive squares in 4 ways, for example, as 7418454531856 + 2585959880464 = 2723684^2 + 1608092^2 .

It is a super-2 number, since 2×10004414412320² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10004414412320.

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 7 ways as a sum of consecutive naturals, for example, 9765947 + ... + 10741626.

Almost surely, 2^{10004414412320} is an apocalyptic number.

10004414412320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10004414412320 is an abundant number, since it is smaller than the sum of its proper divisors (13638767652280).

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

10004414412320 is a wasteful number, since it uses less digits than its factorization.

10004414412320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20510637 (or 20510629 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 10004414412320 its reverse (2321441440001), we get a palindrome (12325855852321).

The spelling of 10004414412320 in words is "ten trillion, four billion, four hundred fourteen million, four hundred twelve thousand, three hundred twenty".