4642082390016 has 342 divisors, whose sum is σ = 13930672590900. Its totient is φ = 1546787487744.

The previous prime is 4642082390009. The next prime is 4642082390021. The reversal of 4642082390016 is 6100932802464.

4642082390016 is a `hidden beast` number, since 46 + 4 + 208 + 2 + 390 + 0 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1719925435 + ... + 1719928133.

Almost surely, 2^{4642082390016} 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 4642082390016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6965336295450).

4642082390016 is an abundant number, since it is smaller than the sum of its proper divisors (9288590200884).

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

4642082390016 is an frugal number, since it uses more digits than its factorization.

4642082390016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 4642082390016 in words is "four trillion, six hundred forty-two billion, eighty-two million, three hundred ninety thousand, sixteen".