4066577356800 has 1152 divisors, whose sum is σ = 16301931609600. Its totient is φ = 873552936960.

The previous prime is 4066577356771. The next prime is 4066577356813. The reversal of 4066577356800 is 86537756604.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2798744874 + ... + 2798746326.

It is an arithmetic number, because the mean of its divisors is an integer number (14150982300).

Almost surely, 2^{4066577356800} is an apocalyptic number.

4066577356800 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 4066577356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8150965804800).

4066577356800 is an abundant number, since it is smaller than the sum of its proper divisors (12235354252800).

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

4066577356800 is a wasteful number, since it uses less digits than its factorization.

4066577356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 57.

The spelling of 4066577356800 in words is "four trillion, sixty-six billion, five hundred seventy-seven million, three hundred fifty-six thousand, eight hundred".