442420022414412 has 72 divisors (see below), whose sum is σ = 1278890753477792. Its totient is φ = 126327740486400.

The previous prime is 442420022414389. The next prime is 442420022414453. The reversal of 442420022414412 is 214414220024244.

442420022414412 is a `hidden beast` number, since 4 + 4 + 2 + 4 + 2 + 0 + 0 + 224 + 14 + 412 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 541119889 + ... + 541936872.

Almost surely, 2^{442420022414412} is an apocalyptic number.

442420022414412 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

442420022414412 is an abundant number, since it is smaller than the sum of its proper divisors (836470731063380).

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

442420022414412 is a wasteful number, since it uses less digits than its factorization.

442420022414412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083058399 (or 1083058394 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 442420022414412 its reverse (214414220024244), we get a palindrome (656834242438656).

The spelling of 442420022414412 in words is "four hundred forty-two trillion, four hundred twenty billion, twenty-two million, four hundred fourteen thousand, four hundred twelve".