4041363456 has 260 divisors, whose sum is σ = 13015269652. Its totient is φ = 1242169344.

The previous prime is 4041363449. The next prime is 4041363457. The reversal of 4041363456 is 6543631404.

4041363456 is a `hidden beast` number, since 4 + 0 + 4 + 13 + 634 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 383533056 + 3657830400 = 19584^2 + 60480^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4041363456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4041363457) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4312620 + ... + 4313556.

Almost surely, 2^4041363456 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 4041363456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6507634826).

4041363456 is an abundant number, since it is smaller than the sum of its proper divisors (8973906196).

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

4041363456 is an equidigital number, since it uses as much as digits as its factorization.

4041363456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 4041363456 is about 63571.7189951633. The cubic root of 4041363456 is about 1592.8539983441.

The spelling of 4041363456 in words is "four billion, forty-one million, three hundred sixty-three thousand, four hundred fifty-six".