4201311224096 has 192 divisors, whose sum is σ = 9582586675200. Its totient is φ = 1776101437440.

The previous prime is 4201311224093. The next prime is 4201311224101. The reversal of 4201311224096 is 6904221131024.

It is not an unprimeable number, because it can be changed into a prime (4201311224093) 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 31 ways as a sum of consecutive naturals, for example, 2825359865 + ... + 2825361351.

It is an arithmetic number, because the mean of its divisors is an integer number (49909305600).

Almost surely, 2^{4201311224096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4201311224096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4791293337600).

4201311224096 is an abundant number, since it is smaller than the sum of its proper divisors (5381275451104).

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

4201311224096 is a wasteful number, since it uses less digits than its factorization.

4201311224096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 4201311224096 in words is "four trillion, two hundred one billion, three hundred eleven million, two hundred twenty-four thousand, ninety-six".