10434717468630 has 384 divisors, whose sum is σ = 34318950801408. Its totient is φ = 2141030900736.

The previous prime is 10434717468619. The next prime is 10434717468647. The reversal of 10434717468630 is 3686471743401.

It is a happy number.

10434717468630 is a `hidden beast` number, since 1 + 0 + 43 + 471 + 74 + 6 + 8 + 63 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60347679 + ... + 60520341.

It is an arithmetic number, because the mean of its divisors is an integer number (89372267712).

Almost surely, 2^{10434717468630} is an apocalyptic number.

10434717468630 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 10434717468630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17159475400704).

10434717468630 is an abundant number, since it is smaller than the sum of its proper divisors (23884233332778).

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

10434717468630 is a wasteful number, since it uses less digits than its factorization.

10434717468630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172900 (or 172897 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 10434717468630 in words is "ten trillion, four hundred thirty-four billion, seven hundred seventeen million, four hundred sixty-eight thousand, six hundred thirty".