442454101454244 has 72 divisors (see below), whose sum is σ = 1194504185818720. Its totient is φ = 127020316199040.

The previous prime is 442454101454221. The next prime is 442454101454291.

It is a happy number.

442454101454244 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×442454101454244² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442454101454193 and 442454101454202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8018931769 + ... + 8018986944.

Almost surely, 2^{442454101454244} is an apocalyptic number.

442454101454244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442454101454244 is an abundant number, since it is smaller than the sum of its proper divisors (752050084364476).

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

442454101454244 is a wasteful number, since it uses less digits than its factorization.

442454101454244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16037918761 (or 16037918748 counting only the distinct ones).

The product of its (nonzero) digits is 6553600, while the sum is 48.

It can be divided in two parts, 44245410 and 1454244, that added together give a palindrome (45699654).

The spelling of 442454101454244 in words is "four hundred forty-two trillion, four hundred fifty-four billion, one hundred one million, four hundred fifty-four thousand, two hundred forty-four".