4165390656 has 280 divisors, whose sum is σ = 14299915520. Its totient is φ = 1174238208.

The previous prime is 4165390627. The next prime is 4165390657. The reversal of 4165390656 is 6560935614.

It is a super-2 number, since 2×4165390656² = 34700958634184220672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4165390657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2866026 + ... + 2867478.

Almost surely, 2^4165390656 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 4165390656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7149957760).

4165390656 is an abundant number, since it is smaller than the sum of its proper divisors (10134524864).

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

4165390656 is a wasteful number, since it uses less digits than its factorization.

4165390656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 4165390656 is about 64539.8377438307. The cubic root of 4165390656 is about 1608.9846942713.

The spelling of 4165390656 in words is "four billion, one hundred sixty-five million, three hundred ninety thousand, six hundred fifty-six".