4097401168 has 80 divisors (see below), whose sum is σ = 9433324800. Its totient is φ = 1722774144.

The previous prime is 4097401163. The next prime is 4097401169. The reversal of 4097401168 is 8611047904.

It is a self number, because there is not a number n which added to its sum of digits gives 4097401168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4097401163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283821 + ... + 297907.

It is an arithmetic number, because the mean of its divisors is an integer number (117916560).

Almost surely, 2^4097401168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4097401168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4716662400).

4097401168 is an abundant number, since it is smaller than the sum of its proper divisors (5335923632).

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

4097401168 is a wasteful number, since it uses less digits than its factorization.

4097401168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14169 (or 14149 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 4097401168 is about 64010.9456889992. The cubic root of 4097401168 is about 1600.1824229504.

The spelling of 4097401168 in words is "four billion, ninety-seven million, four hundred one thousand, one hundred sixty-eight".