4204374720 has 896 divisors, whose sum is σ = 18434304000. Its totient is φ = 785645568.

The previous prime is 4204374679. The next prime is 4204374763. The reversal of 4204374720 is 274734024.

4204374720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28217206 + ... + 28217354.

It is an arithmetic number, because the mean of its divisors is an integer number (20574000).

Almost surely, 2^4204374720 is an apocalyptic number.

4204374720 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 4204374720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9217152000).

4204374720 is an abundant number, since it is smaller than the sum of its proper divisors (14229929280).

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

4204374720 is a wasteful number, since it uses less digits than its factorization.

4204374720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 33.

The square root of 4204374720 is about 64841.1498972682. The cubic root of 4204374720 is about 1613.9886340676.

The spelling of 4204374720 in words is "four billion, two hundred four million, three hundred seventy-four thousand, seven hundred twenty".