4215582228480 has 640 divisors, whose sum is σ = 15643061280000. Its totient is φ = 949456207872.

The previous prime is 4215582228479. The next prime is 4215582228493. The reversal of 4215582228480 is 848222855124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×4215582228480² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4018666996 + ... + 4018668044.

It is an arithmetic number, because the mean of its divisors is an integer number (24442283250).

Almost surely, 2^{4215582228480} is an apocalyptic number.

4215582228480 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 4215582228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7821530640000).

4215582228480 is an abundant number, since it is smaller than the sum of its proper divisors (11427479051520).

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

4215582228480 is an frugal number, since it uses more digits than its factorization.

4215582228480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 3276800, while the sum is 51.

The spelling of 4215582228480 in words is "four trillion, two hundred fifteen billion, five hundred eighty-two million, two hundred twenty-eight thousand, four hundred eighty".