10067117704434 has 288 divisors, whose sum is σ = 26931592786176. Its totient is φ = 2655369319680.

The previous prime is 10067117704429. The next prime is 10067117704439. The reversal of 10067117704434 is 43440771176001.

It is an interprime number because it is at equal distance from previous prime (10067117704429) and next prime (10067117704439).

It is a self number, because there is not a number n which added to its sum of digits gives 10067117704434.

It is not an unprimeable number, because it can be changed into a prime (10067117704439) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1729445244 + ... + 1729451064.

It is an arithmetic number, because the mean of its divisors is an integer number (93512474952).

Almost surely, 2^{10067117704434} is an apocalyptic number.

10067117704434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10067117704434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13465796393088).

10067117704434 is an abundant number, since it is smaller than the sum of its proper divisors (16864475081742).

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

10067117704434 is a wasteful number, since it uses less digits than its factorization.

10067117704434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6150 (or 6020 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 10067117704434 in words is "ten trillion, sixty-seven billion, one hundred seventeen million, seven hundred four thousand, four hundred thirty-four".