10141204332304 has 160 divisors (see below), whose sum is σ = 21425229635040. Its totient is φ = 4631991975936.

The previous prime is 10141204332263. The next prime is 10141204332323. The reversal of 10141204332304 is 40323340214101.

It is a happy number.

10141204332304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 208319216400 + 9932885115904 = 456420^2 + 3151648^2 .

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, 1063795122 + ... + 1063804654.

It is an arithmetic number, because the mean of its divisors is an integer number (133907685219).

Almost surely, 2^{10141204332304} 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 10141204332304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10712614817520).

10141204332304 is an abundant number, since it is smaller than the sum of its proper divisors (11284025302736).

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

10141204332304 is a wasteful number, since it uses less digits than its factorization.

10141204332304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10397 (or 10391 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 10141204332304 its reverse (40323340214101), we get a palindrome (50464544546405).

The spelling of 10141204332304 in words is "ten trillion, one hundred forty-one billion, two hundred four million, three hundred thirty-two thousand, three hundred four".