4042918656 has 540 divisors, whose sum is σ = 14717756592. Its totient is φ = 1098510336.

The previous prime is 4042918643. The next prime is 4042918687. The reversal of 4042918656 is 6568192404.

4042918656 is a `hidden beast` number, since 40 + 429 + 186 + 5 + 6 = 666.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 23369386 + ... + 23369558.

Almost surely, 2^4042918656 is an apocalyptic number.

4042918656 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042918656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7358878296).

4042918656 is an abundant number, since it is smaller than the sum of its proper divisors (10674837936).

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

4042918656 is a wasteful number, since it uses less digits than its factorization.

4042918656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4042918656 is about 63583.9496728538. The cubic root of 4042918656 is about 1593.0582931630.

The spelling of 4042918656 in words is "four billion, forty-two million, nine hundred eighteen thousand, six hundred fifty-six".