4221230440400 has 60 divisors (see below), whose sum is σ = 10415600929932. Its totient is φ = 1642857246720.

The previous prime is 4221230440397. The next prime is 4221230440429. The reversal of 4221230440400 is 40440321224.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 190885105216 + 4030345335184 = 436904^2 + 2007572^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4221230440400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142594337 + ... + 142623936.

Almost surely, 2^{4221230440400} is an apocalyptic number.

4221230440400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4221230440400 is an abundant number, since it is smaller than the sum of its proper divisors (6194370489532).

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

4221230440400 is a wasteful number, since it uses less digits than its factorization.

4221230440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285218328 (or 285218317 counting only the distinct ones).

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

Adding to 4221230440400 its reverse (40440321224), we get a palindrome (4261670761624).

The spelling of 4221230440400 in words is "four trillion, two hundred twenty-one billion, two hundred thirty million, four hundred forty thousand, four hundred".