4221142404400 has 60 divisors (see below), whose sum is σ = 10143324055800. Its totient is φ = 1688119075840.

The previous prime is 4221142404397. The next prime is 4221142404407. The reversal of 4221142404400 is 44042411224.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4221142404407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 950211 + ... + 3056989.

It is an arithmetic number, because the mean of its divisors is an integer number (169055400930).

Almost surely, 2^{4221142404400} is an apocalyptic number.

4221142404400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4221142404400 is an abundant number, since it is smaller than the sum of its proper divisors (5922181651400).

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

4221142404400 is a wasteful number, since it uses less digits than its factorization.

4221142404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111806 (or 2111795 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 4221142404400 its reverse (44042411224), we get a palindrome (4265184815624).

The spelling of 4221142404400 in words is "four trillion, two hundred twenty-one billion, one hundred forty-two million, four hundred four thousand, four hundred".