4042401432020 has 192 divisors, whose sum is σ = 9894117703680. Its totient is φ = 1358763614208.

The previous prime is 4042401432007. The next prime is 4042401432037. The reversal of 4042401432020 is 202341042404.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1381071797 + ... + 1381074723.

It is an arithmetic number, because the mean of its divisors is an integer number (51531863040).

Almost surely, 2^{4042401432020} 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 4042401432020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4947058851840).

4042401432020 is an abundant number, since it is smaller than the sum of its proper divisors (5851716271660).

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

4042401432020 is a wasteful number, since it uses less digits than its factorization.

4042401432020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3862 (or 3860 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 4042401432020 its reverse (202341042404), we get a palindrome (4244742474424).

The spelling of 4042401432020 in words is "four trillion, forty-two billion, four hundred one million, four hundred thirty-two thousand, twenty".