10071413035008 has 208 divisors, whose sum is σ = 29047004930496. Its totient is φ = 3085233684480.

The previous prime is 10071413034953. The next prime is 10071413035037. The reversal of 10071413035008 is 80053031417001.

It is a tau number, because it is divible by the number of its divisors (208).

It is a self number, because there is not a number n which added to its sum of digits gives 10071413035008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36123018 + ... + 36400758.

Almost surely, 2^{10071413035008} 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 10071413035008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14523502465248).

10071413035008 is an abundant number, since it is smaller than the sum of its proper divisors (18975591895488).

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

10071413035008 is a wasteful number, since it uses less digits than its factorization.

10071413035008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278008 (or 277986 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 10071413035008 in words is "ten trillion, seventy-one billion, four hundred thirteen million, thirty-five thousand, eight".