4041225216 has 528 divisors, whose sum is σ = 14748225600. Its totient is φ = 1086898176.

The previous prime is 4041225203. The next prime is 4041225239. The reversal of 4041225216 is 6125221404.

4041225216 is a `hidden beast` number, since 404 + 1 + 2 + 252 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 4041225216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25740210 + ... + 25740366.

Almost surely, 2^4041225216 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 4041225216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7374112800).

4041225216 is an abundant number, since it is smaller than the sum of its proper divisors (10707000384).

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

4041225216 is a wasteful number, since it uses less digits than its factorization.

4041225216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4041225216 is about 63570.6317099335. The cubic root of 4041225216 is about 1592.8358362684.

The spelling of 4041225216 in words is "four billion, forty-one million, two hundred twenty-five thousand, two hundred sixteen".