4201202140224 has 112 divisors (see below), whose sum is σ = 11306014309440. Its totient is φ = 1376429793280.

The previous prime is 4201202140211. The next prime is 4201202140229. The reversal of 4201202140224 is 4220412021024.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 4201202140194 and 4201202140203.

It is not an unprimeable number, because it can be changed into a prime (4201202140229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73841452 + ... + 73898324.

Almost surely, 2^{4201202140224} 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 4201202140224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5653007154720).

4201202140224 is an abundant number, since it is smaller than the sum of its proper divisors (7104812169216).

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

4201202140224 is a wasteful number, since it uses less digits than its factorization.

4201202140224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63468 (or 63458 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 4201202140224 its reverse (4220412021024), we get a palindrome (8421614161248).

The spelling of 4201202140224 in words is "four trillion, two hundred one billion, two hundred two million, one hundred forty thousand, two hundred twenty-four".