4097560320 has 864 divisors, whose sum is σ = 17792611200. Its totient is φ = 867041280.

The previous prime is 4097560283. The next prime is 4097560321. The reversal of 4097560320 is 230657904.

4097560320 is a `hidden beast` number, since 4 + 0 + 97 + 560 + 3 + 2 + 0 = 666.

4097560320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4097560321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67173090 + ... + 67173150.

It is an arithmetic number, because the mean of its divisors is an integer number (20593300).

Almost surely, 2^4097560320 is an apocalyptic number.

4097560320 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 4097560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8896305600).

4097560320 is an abundant number, since it is smaller than the sum of its proper divisors (13695050880).

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

4097560320 is a wasteful number, since it uses less digits than its factorization.

4097560320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 4097560320 is about 64012.1888393140. The cubic root of 4097560320 is about 1600.2031408742.

The spelling of 4097560320 in words is "four billion, ninety-seven million, five hundred sixty thousand, three hundred twenty".