442404522151344 has 80 divisors (see below), whose sum is σ = 1269960694620000. Its totient is φ = 147457041629184.

The previous prime is 442404522151337. The next prime is 442404522151367. The reversal of 442404522151344 is 443151225404244.

442404522151344 is a `hidden beast` number, since 4 + 4 + 2 + 4 + 0 + 452 + 2 + 151 + 3 + 44 = 666.

It is a super-2 number, since 2×442404522151344² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 442404522151344.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32924049 + ... + 44371184.

It is an arithmetic number, because the mean of its divisors is an integer number (15874508682750).

Almost surely, 2^{442404522151344} is an apocalyptic number.

It is an amenable number.

442404522151344 is an abundant number, since it is smaller than the sum of its proper divisors (827556172468656).

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

442404522151344 is a wasteful number, since it uses less digits than its factorization.

442404522151344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77308499 (or 77308487 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 45.

Adding to 442404522151344 its reverse (443151225404244), we get a palindrome (885555747555588).

The spelling of 442404522151344 in words is "four hundred forty-two trillion, four hundred four billion, five hundred twenty-two million, one hundred fifty-one thousand, three hundred forty-four".