4097703360 has 112 divisors (see below), whose sum is σ = 13167213696. Its totient is φ = 1079534592.

The previous prime is 4097703331. The next prime is 4097703371. The reversal of 4097703360 is 633077904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53967 + ... + 105393.

It is an arithmetic number, because the mean of its divisors is an integer number (117564408).

Almost surely, 2^4097703360 is an apocalyptic number.

4097703360 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 4097703360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6583606848).

4097703360 is an abundant number, since it is smaller than the sum of its proper divisors (9069510336).

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

4097703360 is a wasteful number, since it uses less digits than its factorization.

4097703360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51530 (or 51520 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 39.

The square root of 4097703360 is about 64013.3061167754. The cubic root of 4097703360 is about 1600.2217609291.

The spelling of 4097703360 in words is "four billion, ninety-seven million, seven hundred three thousand, three hundred sixty".