442226104400 has 30 divisors (see below), whose sum is σ = 1062448216782. Its totient is φ = 176890441600.

The previous prime is 442226104379. The next prime is 442226104433. The reversal of 442226104400 is 4401622244.

It can be written as a sum of positive squares in 3 ways, for example, as 740275264 + 441485829136 = 27208^2 + 664444^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 552782231 + ... + 552783030.

Almost surely, 2^442226104400 is an apocalyptic number.

442226104400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442226104400 is an abundant number, since it is smaller than the sum of its proper divisors (620222112382).

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

442226104400 is a wasteful number, since it uses less digits than its factorization.

442226104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105565279 (or 1105565268 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 442226104400 its reverse (4401622244), we get a palindrome (446627726644).

The spelling of 442226104400 in words is "four hundred forty-two billion, two hundred twenty-six million, one hundred four thousand, four hundred".