4004355432 has 128 divisors (see below), whose sum is σ = 12652508160. Its totient is φ = 1025809920.

The previous prime is 4004355403. The next prime is 4004355437. The reversal of 4004355432 is 2345534004.

It is a self number, because there is not a number n which added to its sum of digits gives 4004355432.

It is not an unprimeable number, because it can be changed into a prime (4004355437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120063 + ... + 149745.

It is an arithmetic number, because the mean of its divisors is an integer number (98847720).

Almost surely, 2^4004355432 is an apocalyptic number.

4004355432 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 4004355432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6326254080).

4004355432 is an abundant number, since it is smaller than the sum of its proper divisors (8648152728).

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

4004355432 is a wasteful number, since it uses less digits than its factorization.

4004355432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29783 (or 29779 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 4004355432 is about 63279.9765486682. The cubic root of 4004355432 is about 1587.9769944238.

Adding to 4004355432 its reverse (2345534004), we get a palindrome (6349889436).

The spelling of 4004355432 in words is "four billion, four million, three hundred fifty-five thousand, four hundred thirty-two".