4205038320 has 160 divisors (see below), whose sum is σ = 16553226240. Its totient is φ = 961148160.

The previous prime is 4205038291. The next prime is 4205038337. The reversal of 4205038320 is 238305024.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123936 + ... + 154175.

It is an arithmetic number, because the mean of its divisors is an integer number (103457664).

Almost surely, 2^4205038320 is an apocalyptic number.

4205038320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4205038320 is an abundant number, since it is smaller than the sum of its proper divisors (12348187920).

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

4205038320 is a wasteful number, since it uses less digits than its factorization.

4205038320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278140 (or 278128 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4205038320 is about 64846.2668162170. The cubic root of 4205038320 is about 1614.0735445544.

The spelling of 4205038320 in words is "four billion, two hundred five million, thirty-eight thousand, three hundred twenty".