4021917942784 has 165 divisors, whose sum is σ = 9386673910287. Its totient is φ = 1722331441152.

The previous prime is 4021917942781. The next prime is 4021917942793. The reversal of 4021917942784 is 4872497191204.

The square root of 4021917942784 is 2005472.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4021917942781) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3144579457 + ... + 3144580735.

Almost surely, 2^{4021917942784} is an apocalyptic number.

4021917942784 is the 2005472-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4021917942784

4021917942784 is an abundant number, since it is smaller than the sum of its proper divisors (5364755967503).

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

4021917942784 is an frugal number, since it uses more digits than its factorization.

4021917942784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2606 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 58.

The spelling of 4021917942784 in words is "four trillion, twenty-one billion, nine hundred seventeen million, nine hundred forty-two thousand, seven hundred eighty-four".