4147221720 has 128 divisors (see below), whose sum is σ = 12736051200. Its totient is φ = 1079870976.

The previous prime is 4147221719. The next prime is 4147221737. The reversal of 4147221720 is 271227414.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 4675117 + ... + 4676003.

It is an arithmetic number, because the mean of its divisors is an integer number (99500400).

Almost surely, 2^4147221720 is an apocalyptic number.

4147221720 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 4147221720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6368025600).

4147221720 is an abundant number, since it is smaller than the sum of its proper divisors (8588829480).

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

4147221720 is a wasteful number, since it uses less digits than its factorization.

4147221720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 4147221720 is about 64398.9263885664. The cubic root of 4147221720 is about 1606.6418849924.

The spelling of 4147221720 in words is "four billion, one hundred forty-seven million, two hundred twenty-one thousand, seven hundred twenty".