10100439404608 has 112 divisors (see below), whose sum is σ = 23698153670400. Its totient is φ = 4179152517120.

The previous prime is 10100439404599. The next prime is 10100439404609. The reversal of 10100439404608 is 80640493400101.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (10100439404609) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 217475853 + ... + 217522291.

Almost surely, 2^{10100439404608} 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 10100439404608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11849076835200).

10100439404608 is an abundant number, since it is smaller than the sum of its proper divisors (13597714265792).

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

10100439404608 is a wasteful number, since it uses less digits than its factorization.

10100439404608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63228 (or 63218 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 10100439404608 in words is "ten trillion, one hundred billion, four hundred thirty-nine million, four hundred four thousand, six hundred eight".