4201667360800 has 1152 divisors, whose sum is σ = 13831562723328. Its totient is φ = 1209821184000.

The previous prime is 4201667360797. The next prime is 4201667360801. The reversal of 4201667360800 is 80637661024.

It is a super-2 number, since 2×4201667360800² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4201667360801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3166289737 + ... + 3166291063.

It is an arithmetic number, because the mean of its divisors is an integer number (12006564864).

Almost surely, 2^{4201667360800} is an apocalyptic number.

4201667360800 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 4201667360800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6915781361664).

4201667360800 is an abundant number, since it is smaller than the sum of its proper divisors (9629895362528).

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

4201667360800 is a wasteful number, since it uses less digits than its factorization.

4201667360800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The spelling of 4201667360800 in words is "four trillion, two hundred one billion, six hundred sixty-seven million, three hundred sixty thousand, eight hundred".