4214413332 has 72 divisors (see below), whose sum is σ = 11229472800. Its totient is φ = 1329006528.

The previous prime is 4214413283. The next prime is 4214413337. The reversal of 4214413332 is 2333144124.

4214413332 is a `hidden beast` number, since 4 + 214 + 413 + 3 + 32 = 666.

4214413332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4214413332² = 35522559465878684448, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4214413296 and 4214413305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4214413337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 534394 + ... + 542222.

It is an arithmetic number, because the mean of its divisors is an integer number (155964900).

Almost surely, 2^4214413332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4214413332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5614736400).

4214413332 is an abundant number, since it is smaller than the sum of its proper divisors (7015059468).

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

4214413332 is a wasteful number, since it uses less digits than its factorization.

4214413332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8645 (or 8640 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 4214413332 is about 64918.5130143937. The cubic root of 4214413332 is about 1615.2721644150.

Adding to 4214413332 its reverse (2333144124), we get a palindrome (6547557456).

The spelling of 4214413332 in words is "four billion, two hundred fourteen million, four hundred thirteen thousand, three hundred thirty-two".