4217226760320 has 256 divisors, whose sum is σ = 15369731769600. Its totient is φ = 963499769856.

The previous prime is 4217226760309. The next prime is 4217226760337. The reversal of 4217226760320 is 230676227124.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29995146 + ... + 30135414.

It is an arithmetic number, because the mean of its divisors is an integer number (60038014725).

Almost surely, 2^{4217226760320} is an apocalyptic number.

4217226760320 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 4217226760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7684865884800).

4217226760320 is an abundant number, since it is smaller than the sum of its proper divisors (11152505009280).

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

4217226760320 is a wasteful number, since it uses less digits than its factorization.

4217226760320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142535 (or 142523 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 4217226760320 in words is "four trillion, two hundred seventeen billion, two hundred twenty-six million, seven hundred sixty thousand, three hundred twenty".