4221407232 has 624 divisors, whose sum is σ = 15687403200. Its totient is φ = 1114767360.

The previous prime is 4221407227. The next prime is 4221407249. The reversal of 4221407232 is 2327041224.

4221407232 is a `hidden beast` number, since 4 + 2 + 21 + 407 + 232 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 4221407196 and 4221407205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102961132 + ... + 102961172.

Almost surely, 2^4221407232 is an apocalyptic number.

4221407232 is a gapful number since it is divisible by the number (42) 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 4221407232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7843701600).

4221407232 is an abundant number, since it is smaller than the sum of its proper divisors (11465995968).

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

4221407232 is a wasteful number, since it uses less digits than its factorization.

4221407232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4221407232 is about 64972.3574453013. The cubic root of 4221407232 is about 1616.1651956731.

Adding to 4221407232 its reverse (2327041224), we get a palindrome (6548448456).

The spelling of 4221407232 in words is "four billion, two hundred twenty-one million, four hundred seven thousand, two hundred thirty-two".