10417660416 has 120 divisors (see below), whose sum is σ = 30269853900. Its totient is φ = 3449020416.

The previous prime is 10417660397. The next prime is 10417660427. The reversal of 10417660416 is 61406671401.

It is a happy number.

10417660416 is a `hidden beast` number, since 1 + 0 + 41 + 7 + 6 + 604 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10404000000 + 13660416 = 102000^2 + 3696^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 679006 + ... + 694178.

Almost surely, 2^10417660416 is an apocalyptic number.

10417660416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10417660416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15134926950).

10417660416 is an abundant number, since it is smaller than the sum of its proper divisors (19852193484).

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

10417660416 is a wasteful number, since it uses less digits than its factorization.

10417660416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15346 (or 15327 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10417660416 in words is "ten billion, four hundred seventeen million, six hundred sixty thousand, four hundred sixteen".