4097110320 has 240 divisors, whose sum is σ = 14399828352. Its totient is φ = 1042882560.

The previous prime is 4097110289. The next prime is 4097110321. The reversal of 4097110320 is 230117904.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (4097110321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1385964 + ... + 1388916.

Almost surely, 2^4097110320 is an apocalyptic number.

4097110320 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 4097110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7199914176).

4097110320 is an abundant number, since it is smaller than the sum of its proper divisors (10302718032).

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

4097110320 is a wasteful number, since it uses less digits than its factorization.

4097110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3060 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 4097110320 is about 64008.6737872298. The cubic root of 4097110320 is about 1600.1445598553.

The spelling of 4097110320 in words is "four billion, ninety-seven million, one hundred ten thousand, three hundred twenty".