4042421030400 has 960 divisors, whose sum is σ = 14579577323520. Its totient is φ = 983583129600.

The previous prime is 4042421030327. The next prime is 4042421030407. The reversal of 4042421030400 is 40301242404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4042421030407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8300658957 + ... + 8300659443.

It is an arithmetic number, because the mean of its divisors is an integer number (15187059712).

Almost surely, 2^{4042421030400} is an apocalyptic number.

4042421030400 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 4042421030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7289788661760).

4042421030400 is an abundant number, since it is smaller than the sum of its proper divisors (10537156293120).

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

4042421030400 is a wasteful number, since it uses less digits than its factorization.

4042421030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 4042421030400 its reverse (40301242404), we get a palindrome (4082722272804).

The spelling of 4042421030400 in words is "four trillion, forty-two billion, four hundred twenty-one million, thirty thousand, four hundred".