221434425550400 has 42 divisors (see below), whose sum is σ = 544867083373890. Its totient is φ = 88573770219520.

The previous prime is 221434425550381. The next prime is 221434425550453. The reversal of 221434425550400 is 4055524434122.

It can be written as a sum of positive squares in 3 ways, for example, as 25761552941056 + 195672872609344 = 5075584^2 + 13988312^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69198256385 + ... + 69198259584.

Almost surely, 2^{221434425550400} is an apocalyptic number.

221434425550400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221434425550400 is an abundant number, since it is smaller than the sum of its proper divisors (323432657823490).

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

221434425550400 is a wasteful number, since it uses less digits than its factorization.

221434425550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138396515991 (or 138396515976 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 41.

Adding to 221434425550400 its reverse (4055524434122), we get a palindrome (225489949984522).

The spelling of 221434425550400 in words is "two hundred twenty-one trillion, four hundred thirty-four billion, four hundred twenty-five million, five hundred fifty thousand, four hundred".