4241606688 has 384 divisors, whose sum is σ = 14082647040. Its totient is φ = 1230888960.

The previous prime is 4241606639. The next prime is 4241606689. The reversal of 4241606688 is 8866061424.

4241606688 is a `hidden beast` number, since 424 + 160 + 6 + 68 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (4241606689) 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, 39641131 + ... + 39641237.

It is an arithmetic number, because the mean of its divisors is an integer number (36673560).

Almost surely, 2^4241606688 is an apocalyptic number.

4241606688 is a gapful number since it is divisible by the number (48) 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 4241606688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7041323520).

4241606688 is an abundant number, since it is smaller than the sum of its proper divisors (9841040352).

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

4241606688 is a wasteful number, since it uses less digits than its factorization.

4241606688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 4241606688 is about 65127.6184732714. The cubic root of 4241606688 is about 1618.7388813396.

The spelling of 4241606688 in words is "four billion, two hundred forty-one million, six hundred six thousand, six hundred eighty-eight".