4202422440400 has 60 divisors (see below), whose sum is σ = 10105765581100. Its totient is φ = 1679396336640.

The previous prime is 4202422440383. The next prime is 4202422440401. The reversal of 4202422440400 is 40442242024.

It can be written as a sum of positive squares in 6 ways, for example, as 7413898816 + 4195008541584 = 86104^2 + 2048172^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4202422440401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4486365 + ... + 5341564.

Almost surely, 2^{4202422440400} is an apocalyptic number.

4202422440400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4202422440400 is an abundant number, since it is smaller than the sum of its proper divisors (5903343140700).

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

4202422440400 is a wasteful number, since it uses less digits than its factorization.

4202422440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9829016 (or 9829005 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 4202422440400 its reverse (40442242024), we get a palindrome (4242864682424).

The spelling of 4202422440400 in words is "four trillion, two hundred two billion, four hundred twenty-two million, four hundred forty thousand, four hundred".