4221831846540 has 768 divisors, whose sum is σ = 15616696467456. Its totient is φ = 826893619200.

The previous prime is 4221831846539. The next prime is 4221831846541. The reversal of 4221831846540 is 456481381224.

It is an interprime number because it is at equal distance from previous prime (4221831846539) and next prime (4221831846541).

It is a super-3 number, since 3×4221831846540³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 4221831846540.

It is not an unprimeable number, because it can be changed into a prime (4221831846541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 698628759 + ... + 698634801.

It is an arithmetic number, because the mean of its divisors is an integer number (20334240192).

Almost surely, 2^{4221831846540} 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 4221831846540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7808348233728).

4221831846540 is an abundant number, since it is smaller than the sum of its proper divisors (11394864620916).

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

4221831846540 is a wasteful number, since it uses less digits than its factorization.

4221831846540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6238 (or 6236 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 4221831846540 in words is "four trillion, two hundred twenty-one billion, eight hundred thirty-one million, eight hundred forty-six thousand, five hundred forty".