4211665668288 has 1120 divisors, whose sum is σ = 14336328179712. Its totient is φ = 1213354598400.

The previous prime is 4211665668193. The next prime is 4211665668289. The reversal of 4211665668288 is 8828665661124.

4211665668288 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 66 + 566 + 8 + 2 + 8 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (4211665668289) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15541201593 + ... + 15541201863.

Almost surely, 2^{4211665668288} is an apocalyptic number.

4211665668288 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 4211665668288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7168164089856).

4211665668288 is an abundant number, since it is smaller than the sum of its proper divisors (10124662511424).

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

4211665668288 is a wasteful number, since it uses less digits than its factorization.

4211665668288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 536 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 63.

The spelling of 4211665668288 in words is "four trillion, two hundred eleven billion, six hundred sixty-five million, six hundred sixty-eight thousand, two hundred eighty-eight".