442414221300 has 144 divisors (see below), whose sum is σ = 1434867329280. Its totient is φ = 116932999680.

The previous prime is 442414221281. The next prime is 442414221317. The reversal of 442414221300 is 3122414244.

442414221300 is a `hidden beast` number, since 4 + 424 + 14 + 221 + 3 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 419932 + ... + 1030131.

Almost surely, 2^442414221300 is an apocalyptic number.

It is an amenable number.

442414221300 is an abundant number, since it is smaller than the sum of its proper divisors (992453107980).

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

442414221300 is a wasteful number, since it uses less digits than its factorization.

442414221300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450199 (or 1450186 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 442414221300 its reverse (3122414244), we get a palindrome (445536635544).

The spelling of 442414221300 in words is "four hundred forty-two billion, four hundred fourteen million, two hundred twenty-one thousand, three hundred".