4201684506880 has 288 divisors, whose sum is σ = 11594738018304. Its totient is φ = 1429023817728.

The previous prime is 4201684506857. The next prime is 4201684506893. The reversal of 4201684506880 is 886054861024.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 585433852 + ... + 585441028.

It is an arithmetic number, because the mean of its divisors is an integer number (40259507008).

Almost surely, 2^{4201684506880} is an apocalyptic number.

4201684506880 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 4201684506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5797369009152).

4201684506880 is an abundant number, since it is smaller than the sum of its proper divisors (7393053511424).

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

4201684506880 is a wasteful number, since it uses less digits than its factorization.

4201684506880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7721 (or 7707 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 52.

The spelling of 4201684506880 in words is "four trillion, two hundred one billion, six hundred eighty-four million, five hundred six thousand, eight hundred eighty".