10417732806450 has 96 divisors (see below), whose sum is σ = 26224071891264. Its totient is φ = 2736339344640.

The previous prime is 10417732806433. The next prime is 10417732806457. The reversal of 10417732806450 is 5460823771401.

It is a self number, because there is not a number n which added to its sum of digits gives 10417732806450.

It is not an unprimeable number, because it can be changed into a prime (10417732806457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120928792 + ... + 121014908.

It is an arithmetic number, because the mean of its divisors is an integer number (273167415534).

Almost surely, 2^{10417732806450} is an apocalyptic number.

10417732806450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10417732806450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13112035945632).

10417732806450 is an abundant number, since it is smaller than the sum of its proper divisors (15806339084814).

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

10417732806450 is a wasteful number, since it uses less digits than its factorization.

10417732806450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98236 (or 98231 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 10417732806450 in words is "ten trillion, four hundred seventeen billion, seven hundred thirty-two million, eight hundred six thousand, four hundred fifty".