4227262021008 has 240 divisors, whose sum is σ = 13609330665840. Its totient is φ = 1213349953536.

The previous prime is 4227262020997. The next prime is 4227262021061. The reversal of 4227262021008 is 8001202627224.

4227262021008 is a `hidden beast` number, since 4 + 2 + 2 + 7 + 2 + 620 + 21 + 0 + 0 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1428962033664 + 2798299987344 = 1195392^2 + 1672812^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3008358 + ... + 4183866.

It is an arithmetic number, because the mean of its divisors is an integer number (56705544441).

Almost surely, 2^{4227262021008} is an apocalyptic number.

4227262021008 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 4227262021008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6804665332920).

4227262021008 is an abundant number, since it is smaller than the sum of its proper divisors (9382068644832).

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

4227262021008 is a wasteful number, since it uses less digits than its factorization.

4227262021008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175666 (or 1175657 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 4227262021008 in words is "four trillion, two hundred twenty-seven billion, two hundred sixty-two million, twenty-one thousand, eight".