10417046010 has 64 divisors (see below), whose sum is σ = 28627402752. Its totient is φ = 2376461376.

The previous prime is 10417045997. The next prime is 10417046041. The reversal of 10417046010 is 1064071401.

It is a super-3 number, since 3×10417046010³ (a number of 31 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 62407 + ... + 157253.

It is an arithmetic number, because the mean of its divisors is an integer number (447303168).

Almost surely, 2^10417046010 is an apocalyptic number.

10417046010 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 10417046010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14313701376).

10417046010 is an abundant number, since it is smaller than the sum of its proper divisors (18210356742).

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

10417046010 is a wasteful number, since it uses less digits than its factorization.

10417046010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95387.

The product of its (nonzero) digits is 672, while the sum is 24.

The spelling of 10417046010 in words is "ten billion, four hundred seventeen million, forty-six thousand, ten".