4066537246800 has 480 divisors, whose sum is σ = 15095253675264. Its totient is φ = 916586496000.

The previous prime is 4066537246799. The next prime is 4066537246801. The reversal of 4066537246800 is 86427356604.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4066537246799) and next prime (4066537246801).

It is a super-2 number, since 2×4066537246800² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4066537246801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 228949920 + ... + 228967680.

Almost surely, 2^{4066537246800} is an apocalyptic number.

4066537246800 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 4066537246800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7547626837632).

4066537246800 is an abundant number, since it is smaller than the sum of its proper divisors (11028716428464).

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

4066537246800 is a wasteful number, since it uses less digits than its factorization.

4066537246800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18167 (or 18156 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 4066537246800 in words is "four trillion, sixty-six billion, five hundred thirty-seven million, two hundred forty-six thousand, eight hundred".