442306414380 has 96 divisors (see below), whose sum is σ = 1242120821760. Its totient is φ = 117599895040.

The previous prime is 442306414327. The next prime is 442306414391. The reversal of 442306414380 is 83414603244.

442306414380 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49310536 + ... + 49319504.

It is an arithmetic number, because the mean of its divisors is an integer number (12938758560).

Almost surely, 2^442306414380 is an apocalyptic number.

It is an amenable number.

442306414380 is an abundant number, since it is smaller than the sum of its proper divisors (799814407380).

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

442306414380 is a wasteful number, since it uses less digits than its factorization.

442306414380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11319 (or 11317 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 39.

The spelling of 442306414380 in words is "four hundred forty-two billion, three hundred six million, four hundred fourteen thousand, three hundred eighty".