4096397889936 has 675 divisors, whose sum is σ = 13805295416913. Its totient is φ = 1171627649280.

The previous prime is 4096397889811. The next prime is 4096397889973. The reversal of 4096397889936 is 6399887936904.

The square root of 4096397889936 is 2023956.

It is a perfect power (a square), and thus also a powerful number.

4096397889936 is a `hidden beast` number, since 409 + 6 + 3 + 97 + 8 + 8 + 99 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 269522952336 + 3826874937600 = 519156^2 + 1956240^2 .

It is a super-2 number, since 2×4096397889936² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 15228244810 + ... + 15228245078.

Almost surely, 2^{4096397889936} is an apocalyptic number.

4096397889936 is the 2023956-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4096397889936

4096397889936 is an abundant number, since it is smaller than the sum of its proper divisors (9708897526977).

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

4096397889936 is a wasteful number, since it uses less digits than its factorization.

4096397889936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 3809369088, while the sum is 81.

Multiplying 4096397889936 by its sum of digits (81), we get a square (331808229084816 = 18215604²).

4096397889936 divided by its sum of digits (81) gives a square (50572813456 = 224884²).

The spelling of 4096397889936 in words is "four trillion, ninety-six billion, three hundred ninety-seven million, eight hundred eighty-nine thousand, nine hundred thirty-six".