10217661441 has 32 divisors (see below), whose sum is σ = 14908924800. Its totient is φ = 6186845184.

The previous prime is 10217661431. The next prime is 10217661451. The reversal of 10217661441 is 14416671201.

It is an interprime number because it is at equal distance from previous prime (10217661431) and next prime (10217661451).

It is not a de Polignac number, because 10217661441 - 2³¹ = 8070177793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10217661431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 613561 + ... + 629993.

It is an arithmetic number, because the mean of its divisors is an integer number (465903900).

Almost surely, 2^10217661441 is an apocalyptic number.

It is an amenable number.

10217661441 is a deficient number, since it is larger than the sum of its proper divisors (4691263359).

10217661441 is a wasteful number, since it uses less digits than its factorization.

10217661441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16705.

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 10217661441 in words is "ten billion, two hundred seventeen million, six hundred sixty-one thousand, four hundred forty-one".