4097688288 has 48 divisors (see below), whose sum is σ = 10892609280. Its totient is φ = 1348603776.

The previous prime is 4097688263. The next prime is 4097688289. The reversal of 4097688288 is 8828867904.

4097688288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4097688288² = 33582098611224741888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4097688289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262570 + ... + 277737.

It is an arithmetic number, because the mean of its divisors is an integer number (226929360).

Almost surely, 2^4097688288 is an apocalyptic number.

4097688288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4097688288 is an abundant number, since it is smaller than the sum of its proper divisors (6794920992).

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

4097688288 is a wasteful number, since it uses less digits than its factorization.

4097688288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540399 (or 540391 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 60.

The square root of 4097688288 is about 64013.1883911433. The cubic root of 4097688288 is about 1600.2197989705.

The spelling of 4097688288 in words is "four billion, ninety-seven million, six hundred eighty-eight thousand, two hundred eighty-eight".