442473409152 has 96 divisors (see below), whose sum is σ = 1275502936500. Its totient is φ = 147231707136.

The previous prime is 442473409099. The next prime is 442473409159. The reversal of 442473409152 is 251904374244.

442473409152 is a `hidden beast` number, since 4 + 4 + 2 + 473 + 40 + 91 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 411517118016 + 30956291136 = 641496^2 + 175944^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 442473409098 and 442473409107.

It is not an unprimeable number, because it can be changed into a prime (442473409159) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 317974 + ... + 993002.

Almost surely, 2^442473409152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442473409152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637751468250).

442473409152 is an abundant number, since it is smaller than the sum of its proper divisors (833029527348).

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

442473409152 is a wasteful number, since it uses less digits than its factorization.

442473409152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675618 (or 675603 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 442473409152 in words is "four hundred forty-two billion, four hundred seventy-three million, four hundred nine thousand, one hundred fifty-two".