4042598816000 has 288 divisors, whose sum is σ = 10256005468800. Its totient is φ = 1587352166400.

The previous prime is 4042598815949. The next prime is 4042598816077. The reversal of 4042598816000 is 6188952404.

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, 2018270999 + ... + 2018273001.

It is an arithmetic number, because the mean of its divisors is an integer number (35611130100).

Almost surely, 2^{4042598816000} is an apocalyptic number.

4042598816000 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 4042598816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5128002734400).

4042598816000 is an abundant number, since it is smaller than the sum of its proper divisors (6213406652800).

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

4042598816000 is a wasteful number, since it uses less digits than its factorization.

4042598816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3162 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 47.

The spelling of 4042598816000 in words is "four trillion, forty-two billion, five hundred ninety-eight million, eight hundred sixteen thousand".