442432371456 has 144 divisors (see below), whose sum is σ = 1329799991520. Its totient is φ = 145059655680.

The previous prime is 442432371443. The next prime is 442432371461. The reversal of 442432371456 is 654173234244.

442432371456 is a `hidden beast` number, since 4 + 42 + 432 + 37 + 145 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 103035 + ... + 946298.

Almost surely, 2^442432371456 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 442432371456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664899995760).

442432371456 is an abundant number, since it is smaller than the sum of its proper divisors (887367620064).

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

442432371456 is a wasteful number, since it uses less digits than its factorization.

442432371456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049419 (or 1049399 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 45.

The spelling of 442432371456 in words is "four hundred forty-two billion, four hundred thirty-two million, three hundred seventy-one thousand, four hundred fifty-six".