4221425040 has 320 divisors, whose sum is σ = 16044687360. Its totient is φ = 896163840.

The previous prime is 4221425003. The next prime is 4221425071. The reversal of 4221425040 is 405241224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4221425040.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2255305 + ... + 2257175.

It is an arithmetic number, because the mean of its divisors is an integer number (50139648).

Almost surely, 2^4221425040 is an apocalyptic number.

4221425040 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 4221425040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8022343680).

4221425040 is an abundant number, since it is smaller than the sum of its proper divisors (11823262320).

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

4221425040 is a wasteful number, since it uses less digits than its factorization.

4221425040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 4221425040 is about 64972.4944880524. The cubic root of 4221425040 is about 1616.1674682668.

Adding to 4221425040 its reverse (405241224), we get a palindrome (4626666264).

The spelling of 4221425040 in words is "four billion, two hundred twenty-one million, four hundred twenty-five thousand, forty".