10004401200032 has 192 divisors, whose sum is σ = 20725022102400. Its totient is φ = 4749779865600.

The previous prime is 10004401200023. The next prime is 10004401200043. The reversal of 10004401200032 is 23000210440001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2703159782 + ... + 2703163482.

It is an arithmetic number, because the mean of its divisors is an integer number (107942823450).

Almost surely, 2^{10004401200032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10004401200032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10362511051200).

10004401200032 is an abundant number, since it is smaller than the sum of its proper divisors (10720620902368).

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

10004401200032 is a wasteful number, since it uses less digits than its factorization.

10004401200032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4199 (or 4191 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10004401200032 its reverse (23000210440001), we get a palindrome (33004611640033).

The spelling of 10004401200032 in words is "ten trillion, four billion, four hundred one million, two hundred thousand, thirty-two".