4027042656 has 504 divisors, whose sum is σ = 14946259104. Its totient is φ = 1058158080.

The previous prime is 4027042633. The next prime is 4027042697. The reversal of 4027042656 is 6562407204.

It is a tau number, because it is divible by the number of its divisors (504).

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 4027042656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 14859801 + ... + 14860071.

It is an arithmetic number, because the mean of its divisors is an integer number (29655276).

Almost surely, 2^4027042656 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 4027042656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7473129552).

4027042656 is an abundant number, since it is smaller than the sum of its proper divisors (10919216448).

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

4027042656 is a wasteful number, since it uses less digits than its factorization.

4027042656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 4027042656 is about 63458.9840448143. The cubic root of 4027042656 is about 1590.9703155299.

The spelling of 4027042656 in words is "four billion, twenty-seven million, forty-two thousand, six hundred fifty-six".