4267641027200 has 48 divisors (see below), whose sum is σ = 10542406982910. Its totient is φ = 1707056409600.

The previous prime is 4267641027163. The next prime is 4267641027271. The reversal of 4267641027200 is 27201467624.

It can be written as a sum of positive squares in 3 ways, for example, as 4153737477184 + 113903550016 = 2038072^2 + 337496^2 .

It is a super-2 number, since 2×4267641027200² (a number of 26 digits) contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 666815711 + ... + 666822110.

Almost surely, 2^{4267641027200} is an apocalyptic number.

4267641027200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4267641027200 is an abundant number, since it is smaller than the sum of its proper divisors (6274765955710).

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

4267641027200 is a wasteful number, since it uses less digits than its factorization.

4267641027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333637845 (or 1333637828 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 41.

The spelling of 4267641027200 in words is "four trillion, two hundred sixty-seven billion, six hundred forty-one million, twenty-seven thousand, two hundred".