442408078752 has 48 divisors (see below), whose sum is σ = 1161564308352. Its totient is φ = 147438489600.

The previous prime is 442408078709. The next prime is 442408078759. The reversal of 442408078752 is 257870804244.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 442408078695 and 442408078704.

It is not an unprimeable number, because it can be changed into a prime (442408078759) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19048 + ... + 940839.

It is an arithmetic number, because the mean of its divisors is an integer number (24199256424).

Almost surely, 2^442408078752 is an apocalyptic number.

It is an amenable number.

442408078752 is an abundant number, since it is smaller than the sum of its proper divisors (719156229600).

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

442408078752 is a wasteful number, since it uses less digits than its factorization.

442408078752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964701 (or 964693 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 51.

The spelling of 442408078752 in words is "four hundred forty-two billion, four hundred eight million, seventy-eight thousand, seven hundred fifty-two".