4032120240200 has 192 divisors, whose sum is σ = 10283845698000. Its totient is φ = 1461298544640.

The previous prime is 4032120240151. The next prime is 4032120240209. The reversal of 4032120240200 is 20420212304.

It can be written as a sum of positive squares in 24 ways, for example, as 1988026680676 + 2044093559524 = 1409974^2 + 1429718^2 .

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 (4032120240209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31638206 + ... + 31765394.

Almost surely, 2^{4032120240200} is an apocalyptic number.

4032120240200 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 4032120240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5141922849000).

4032120240200 is an abundant number, since it is smaller than the sum of its proper divisors (6251725457800).

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

4032120240200 is a wasteful number, since it uses less digits than its factorization.

4032120240200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127444 (or 127435 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 4032120240200 its reverse (20420212304), we get a palindrome (4052540452504).

The spelling of 4032120240200 in words is "four trillion, thirty-two billion, one hundred twenty million, two hundred forty thousand, two hundred".