4220375040 has 312 divisors, whose sum is σ = 16723794048. Its totient is φ = 964362240.

The previous prime is 4220375039. The next prime is 4220375077. The reversal of 4220375040 is 405730224.

It is a junction number, because it is equal to n+sod(n) for n = 4220374995 and 4220375013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1288605 + ... + 1291875.

It is an arithmetic number, because the mean of its divisors is an integer number (53601904).

Almost surely, 2^4220375040 is an apocalyptic number.

4220375040 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 4220375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8361897024).

4220375040 is an abundant number, since it is smaller than the sum of its proper divisors (12503419008).

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

4220375040 is a wasteful number, since it uses less digits than its factorization.

4220375040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3313 (or 3288 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 4220375040 is about 64964.4136431631. The cubic root of 4220375040 is about 1616.0334600790.

The spelling of 4220375040 in words is "four billion, two hundred twenty million, three hundred seventy-five thousand, forty".