4201224140 has 72 divisors (see below), whose sum is σ = 9487905840. Its totient is φ = 1561862016.

The previous prime is 4201224119. The next prime is 4201224143. The reversal of 4201224140 is 414221024.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4201224143) 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 23 ways as a sum of consecutive naturals, for example, 377171 + ... + 388149.

It is an arithmetic number, because the mean of its divisors is an integer number (131776470).

Almost surely, 2^4201224140 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 4201224140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4743952920).

4201224140 is an abundant number, since it is smaller than the sum of its proper divisors (5286681700).

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

4201224140 is a wasteful number, since it uses less digits than its factorization.

4201224140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11079 (or 11058 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4201224140 is about 64816.8507411460. The cubic root of 4201224140 is about 1613.5853817935.

Adding to 4201224140 its reverse (414221024), we get a palindrome (4615445164).

The spelling of 4201224140 in words is "four billion, two hundred one million, two hundred twenty-four thousand, one hundred forty".