4427216640 has 1296 divisors, whose sum is σ = 20937885696. Its totient is φ = 851558400.

The previous prime is 4427216621. The next prime is 4427216659. The reversal of 4427216640 is 466127244.

4427216640 is a `hidden beast` number, since 4 + 4 + 2 + 7 + 2 + 1 + 6 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (4427216621) and next prime (4427216659).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4427216595 and 4427216604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 142813425 + ... + 142813455.

It is an arithmetic number, because the mean of its divisors is an integer number (16155776).

Almost surely, 2^4427216640 is an apocalyptic number.

4427216640 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 4427216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10468942848).

4427216640 is an abundant number, since it is smaller than the sum of its proper divisors (16510669056).

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

4427216640 is a wasteful number, since it uses less digits than its factorization.

4427216640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4427216640 is about 66537.3326787301. The cubic root of 4427216640 is about 1642.0142611253.

The spelling of 4427216640 in words is "four billion, four hundred twenty-seven million, two hundred sixteen thousand, six hundred forty".