4201041343200 has 432 divisors, whose sum is σ = 15028279128576. Its totient is φ = 1018661529600.

The previous prime is 4201041343067. The next prime is 4201041343201. The reversal of 4201041343200 is 23431401024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4201041343201) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 27097905 + ... + 27252495.

It is an arithmetic number, because the mean of its divisors is an integer number (34787683168).

Almost surely, 2^{4201041343200} is an apocalyptic number.

4201041343200 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 4201041343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7514139564288).

4201041343200 is an abundant number, since it is smaller than the sum of its proper divisors (10827237785376).

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

4201041343200 is a wasteful number, since it uses less digits than its factorization.

4201041343200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154707 (or 154681 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4201041343200 its reverse (23431401024), we get a palindrome (4224472744224).

The spelling of 4201041343200 in words is "four trillion, two hundred one billion, forty-one million, three hundred forty-three thousand, two hundred".