4285440432 has 600 divisors, whose sum is σ = 16163809200. Its totient is φ = 1085156352.

The previous prime is 4285440421. The next prime is 4285440433. The reversal of 4285440432 is 2340445824.

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

It is not an unprimeable number, because it can be changed into a prime (4285440433) 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 119 ways as a sum of consecutive naturals, for example, 23940919 + ... + 23941097.

It is an arithmetic number, because the mean of its divisors is an integer number (26939682).

Almost surely, 2^4285440432 is an apocalyptic number.

4285440432 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 4285440432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8081904600).

4285440432 is an abundant number, since it is smaller than the sum of its proper divisors (11878368768).

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

4285440432 is a wasteful number, since it uses less digits than its factorization.

4285440432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The square root of 4285440432 is about 65463.2754450921. The cubic root of 4285440432 is about 1624.2959230855.

The spelling of 4285440432 in words is "four billion, two hundred eighty-five million, four hundred forty thousand, four hundred thirty-two".