4221646617100 has 72 divisors (see below), whose sum is σ = 9998798504688. Its totient is φ = 1534374700800.

The previous prime is 4221646617059. The next prime is 4221646617119. The reversal of 4221646617100 is 17166461224.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1235794 + ... + 3157606.

It is an arithmetic number, because the mean of its divisors is an integer number (138872201454).

Almost surely, 2^{4221646617100} 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 4221646617100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999399252344).

4221646617100 is an abundant number, since it is smaller than the sum of its proper divisors (5777151887588).

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

4221646617100 is a wasteful number, since it uses less digits than its factorization.

4221646617100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923835 (or 1923828 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 4221646617100 in words is "four trillion, two hundred twenty-one billion, six hundred forty-six million, six hundred seventeen thousand, one hundred".