4097673216 has 432 divisors, whose sum is σ = 14868535500. Its totient is φ = 1077608448.

The previous prime is 4097673211. The next prime is 4097673221. The reversal of 4097673216 is 6123767904.

It is an interprime number because it is at equal distance from previous prime (4097673211) and next prime (4097673221).

It can be written as a sum of positive squares in 2 ways, for example, as 4075545600 + 22127616 = 63840^2 + 4704^2 .

It is not an unprimeable number, because it can be changed into a prime (4097673211) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11741010 + ... + 11741358.

Almost surely, 2^4097673216 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 4097673216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7434267750).

4097673216 is an abundant number, since it is smaller than the sum of its proper divisors (10770862284).

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

4097673216 is a wasteful number, since it uses less digits than its factorization.

4097673216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 4097673216 is about 64013.0706652946. The cubic root of 4097673216 is about 1600.2178370072.

The spelling of 4097673216 in words is "four billion, ninety-seven million, six hundred seventy-three thousand, two hundred sixteen".