4096737216 has 448 divisors, whose sum is σ = 14440204800. Its totient is φ = 1122508800.

The previous prime is 4096737109. The next prime is 4096737217. The reversal of 4096737216 is 6127376904.

4096737216 = 348³ + 349³ + ... + 419³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4096737217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14578996 + ... + 14579276.

It is an arithmetic number, because the mean of its divisors is an integer number (32232600).

Almost surely, 2^4096737216 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 4096737216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7220102400).

4096737216 is an abundant number, since it is smaller than the sum of its proper divisors (10343467584).

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

4096737216 is a wasteful number, since it uses less digits than its factorization.

4096737216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 369 counting only the distinct ones).

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

The square root of 4096737216 is about 64005.7592408683. The cubic root of 4096737216 is about 1600.0959859082.

It can be divided in two parts, 4096737 and 216, that added together give a triangular number (4096953 = T₂₈₆₂).

The spelling of 4096737216 in words is "four billion, ninety-six million, seven hundred thirty-seven thousand, two hundred sixteen".