4220216640 has 280 divisors, whose sum is σ = 15666963840. Its totient is φ = 1076308992.

The previous prime is 4220216599. The next prime is 4220216657. The reversal of 4220216640 is 466120224.

4220216640 is a `hidden beast` number, since 4 + 2 + 2 + 0 + 2 + 16 + 640 = 666.

4220216640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 592621 + ... + 599699.

Almost surely, 2^4220216640 is an apocalyptic number.

4220216640 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 4220216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7833481920).

4220216640 is an abundant number, since it is smaller than the sum of its proper divisors (11446747200).

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

4220216640 is a wasteful number, since it uses less digits than its factorization.

4220216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7131 (or 7112 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4220216640 is about 64963.1945027336. The cubic root of 4220216640 is about 1616.0132420573.

Adding to 4220216640 its reverse (466120224), we get a palindrome (4686336864).

The spelling of 4220216640 in words is "four billion, two hundred twenty million, two hundred sixteen thousand, six hundred forty".