4412624832 has 504 divisors, whose sum is σ = 16383652272. Its totient is φ = 1122508800.

The previous prime is 4412624803. The next prime is 4412624837. The reversal of 4412624832 is 2384262144.

It is a tau number, because it is divible by the number of its divisors (504).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4412624837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18938188 + ... + 18938420.

Almost surely, 2^4412624832 is an apocalyptic number.

4412624832 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 4412624832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8191826136).

4412624832 is an abundant number, since it is smaller than the sum of its proper divisors (11971027440).

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

4412624832 is a wasteful number, since it uses less digits than its factorization.

4412624832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 317 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 4412624832 is about 66427.5908941458. The cubic root of 4412624832 is about 1640.2082860582.

Adding to 4412624832 its reverse (2384262144), we get a palindrome (6796886976).

The spelling of 4412624832 in words is "four billion, four hundred twelve million, six hundred twenty-four thousand, eight hundred thirty-two".