4422564026880 has 320 divisors, whose sum is σ = 14389583472000. Its totient is φ = 1158429081600.

The previous prime is 4422564026869. The next prime is 4422564026891. The reversal of 4422564026880 is 886204652244.

It is an interprime number because it is at equal distance from previous prime (4422564026869) and next prime (4422564026891).

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 701879730 + ... + 701886030.

It is an arithmetic number, because the mean of its divisors is an integer number (44967448350).

Almost surely, 2^{4422564026880} is an apocalyptic number.

4422564026880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4422564026880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7194791736000).

4422564026880 is an abundant number, since it is smaller than the sum of its proper divisors (9967019445120).

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

4422564026880 is a wasteful number, since it uses less digits than its factorization.

4422564026880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7935 (or 7919 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 51.

The spelling of 4422564026880 in words is "four trillion, four hundred twenty-two billion, five hundred sixty-four million, twenty-six thousand, eight hundred eighty".