4266241648128 has 120 divisors (see below), whose sum is σ = 12960697378200. Its totient is φ = 1347234177024.

The previous prime is 4266241648111. The next prime is 4266241648157. The reversal of 4266241648128 is 8218461426624.

4266241648128 is a `hidden beast` number, since 4 + 2 + 6 + 62 + 416 + 48 + 128 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24276493 + ... + 24451596.

It is an arithmetic number, because the mean of its divisors is an integer number (108005811485).

Almost surely, 2^{4266241648128} is an apocalyptic number.

4266241648128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4266241648128 is an abundant number, since it is smaller than the sum of its proper divisors (8694455730072).

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

4266241648128 is a wasteful number, since it uses less digits than its factorization.

4266241648128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48728132 (or 48728113 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The spelling of 4266241648128 in words is "four trillion, two hundred sixty-six billion, two hundred forty-one million, six hundred forty-eight thousand, one hundred twenty-eight".