4227901318368 has 576 divisors, whose sum is σ = 15029407516032. Its totient is φ = 1097647718400.

The previous prime is 4227901318349. The next prime is 4227901318397. The reversal of 4227901318368 is 8638131097224.

It is a happy number.

4227901318368 is a `hidden beast` number, since 4 + 2 + 279 + 0 + 1 + 3 + 1 + 8 + 368 = 666.

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 95 ways as a sum of consecutive naturals, for example, 1149821746 + ... + 1149825422.

It is an arithmetic number, because the mean of its divisors is an integer number (26092721382).

Almost surely, 2^{4227901318368} is an apocalyptic number.

4227901318368 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 4227901318368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7514703758016).

4227901318368 is an abundant number, since it is smaller than the sum of its proper divisors (10801506197664).

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

4227901318368 is a wasteful number, since it uses less digits than its factorization.

4227901318368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4387 (or 4376 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 4227901318368 in words is "four trillion, two hundred twenty-seven billion, nine hundred one million, three hundred eighteen thousand, three hundred sixty-eight".