4225021920 has 288 divisors, whose sum is σ = 16538558400. Its totient is φ = 962150400.

The previous prime is 4225021907. The next prime is 4225021939. The reversal of 4225021920 is 291205224.

It is a happy number.

4225021920 is a `hidden beast` number, since 422 + 5 + 0 + 219 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3517320 + ... + 3518520.

It is an arithmetic number, because the mean of its divisors is an integer number (57425550).

Almost surely, 2^4225021920 is an apocalyptic number.

4225021920 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 4225021920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8269279200).

4225021920 is an abundant number, since it is smaller than the sum of its proper divisors (12313536480).

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

4225021920 is a wasteful number, since it uses less digits than its factorization.

4225021920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4225021920 is about 65000.1686151659. The cubic root of 4225021920 is about 1616.6263583436.

The spelling of 4225021920 in words is "four billion, two hundred twenty-five million, twenty-one thousand, nine hundred twenty".