4082697216 has 352 divisors, whose sum is σ = 13416529280. Its totient is φ = 1218281472.

The previous prime is 4082697161. The next prime is 4082697239. The reversal of 4082697216 is 6127962804.

It is a happy number.

4082697216 is a `hidden beast` number, since 408 + 26 + 9 + 7 + 216 = 666.

It is a super-4 number, since 4×4082697216⁴ (a number of 40 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13298535 + ... + 13298841.

It is an arithmetic number, because the mean of its divisors is an integer number (38115140).

Almost surely, 2^4082697216 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 4082697216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6708264640).

4082697216 is an abundant number, since it is smaller than the sum of its proper divisors (9333832064).

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

4082697216 is a wasteful number, since it uses less digits than its factorization.

4082697216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4082697216 is about 63895.9874796532. The cubic root of 4082697216 is about 1598.2659880973.

The spelling of 4082697216 in words is "four billion, eighty-two million, six hundred ninety-seven thousand, two hundred sixteen".