4214432320 has 112 divisors (see below), whose sum is σ = 11507833728. Its totient is φ = 1440092160.

The previous prime is 4214432297. The next prime is 4214432333. The reversal of 4214432320 is 232344124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×4214432320² = 35522879559721164800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 698115 + ... + 704125.

Almost surely, 2^4214432320 is an apocalyptic number.

4214432320 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 4214432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5753916864).

4214432320 is an abundant number, since it is smaller than the sum of its proper divisors (7293401408).

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

4214432320 is a wasteful number, since it uses less digits than its factorization.

4214432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6348 (or 6338 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 4214432320 is about 64918.6592591067. The cubic root of 4214432320 is about 1615.2745902759.

Adding to 4214432320 its reverse (232344124), we get a palindrome (4446776444).

The spelling of 4214432320 in words is "four billion, two hundred fourteen million, four hundred thirty-two thousand, three hundred twenty".