4026662668800 has 600 divisors, whose sum is σ = 14939209847232. Its totient is φ = 1071166464000.

The previous prime is 4026662668771. The next prime is 4026662668807. The reversal of 4026662668800 is 88662666204.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4026662668807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 446856295 + ... + 446865305.

Almost surely, 2^{4026662668800} is an apocalyptic number.

4026662668800 is a gapful number since it is divisible by the number (40) 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 4026662668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7469604923616).

4026662668800 is an abundant number, since it is smaller than the sum of its proper divisors (10912547178432).

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

4026662668800 is an equidigital number, since it uses as much as digits as its factorization.

4026662668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9482 (or 9452 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 4026662668800 in words is "four trillion, twenty-six billion, six hundred sixty-two million, six hundred sixty-eight thousand, eight hundred".