10217143414944 has 480 divisors, whose sum is σ = 30901276674576. Its totient is φ = 3310381301760.

The previous prime is 10217143414943. The next prime is 10217143414949. The reversal of 10217143414944 is 44941434171201.

10217143414944 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 7 + 143 + 414 + 94 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7476833984400 + 2740309430544 = 2734380^2 + 1655388^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10217143414944.

It is not an unprimeable number, because it can be changed into a prime (10217143414943) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12444754054 + ... + 12444754874.

Almost surely, 2^{10217143414944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10217143414944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15450638337288).

10217143414944 is an abundant number, since it is smaller than the sum of its proper divisors (20684133259632).

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

10217143414944 is a wasteful number, since it uses less digits than its factorization.

10217143414944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 10217143414944 in words is "ten trillion, two hundred seventeen billion, one hundred forty-three million, four hundred fourteen thousand, nine hundred forty-four".