4042091804160 has 640 divisors, whose sum is σ = 13947358740480. Its totient is φ = 996154638336.

The previous prime is 4042091804129. The next prime is 4042091804251. The reversal of 4042091804160 is 614081902404.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 655861239 + ... + 655867401.

It is an arithmetic number, because the mean of its divisors is an integer number (21792748032).

Almost surely, 2^{4042091804160} is an apocalyptic number.

4042091804160 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 4042091804160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6973679370240).

4042091804160 is an abundant number, since it is smaller than the sum of its proper divisors (9905266936320).

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

4042091804160 is a wasteful number, since it uses less digits than its factorization.

4042091804160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6338 (or 6322 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 4042091804160 in words is "four trillion, forty-two billion, ninety-one million, eight hundred four thousand, one hundred sixty".