442979858196480 has 3072 divisors, whose sum is σ = 1732407002726400. Its totient is φ = 95391055872000.

The previous prime is 442979858196389. The next prime is 442979858196503. The reversal of 442979858196480 is 84691858979244.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a junction number, because it is equal to n+sod(n) for n = 442979858196393 and 442979858196402.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1934409861006 + ... + 1934409861234.

It is an arithmetic number, because the mean of its divisors is an integer number (563934571200).

Almost surely, 2^{442979858196480} is an apocalyptic number.

442979858196480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442979858196480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866203501363200).

442979858196480 is an abundant number, since it is smaller than the sum of its proper divisors (1289427144529920).

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

442979858196480 is a wasteful number, since it uses less digits than its factorization.

442979858196480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 10032906240, while the sum is 84.

The spelling of 442979858196480 in words is "four hundred forty-two trillion, nine hundred seventy-nine billion, eight hundred fifty-eight million, one hundred ninety-six thousand, four hundred eighty".