4220870400 has 324 divisors, whose sum is σ = 15235747072. Its totient is φ = 1114767360.

The previous prime is 4220870389. The next prime is 4220870413. The reversal of 4220870400 is 40780224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7314912 + ... + 7315488.

Almost surely, 2^4220870400 is an apocalyptic number.

4220870400 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 4220870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7617873536).

4220870400 is an abundant number, since it is smaller than the sum of its proper divisors (11014876672).

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

4220870400 is a wasteful number, since it uses less digits than its factorization.

4220870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4220870400 is about 64968.2260801386. The cubic root of 4220870400 is about 1616.0966840824.

The spelling of 4220870400 in words is "four billion, two hundred twenty million, eight hundred seventy thousand, four hundred".