4042656804000 has 384 divisors, whose sum is σ = 13691616067584. Its totient is φ = 1041690240000.

The previous prime is 4042656803959. The next prime is 4042656804019. The reversal of 4042656804000 is 4086562404.

It is a self number, because there is not a number n which added to its sum of digits gives 4042656804000.

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, 257044137 + ... + 257059863.

It is an arithmetic number, because the mean of its divisors is an integer number (35655250176).

Almost surely, 2^{4042656804000} is an apocalyptic number.

4042656804000 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 4042656804000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6845808033792).

4042656804000 is an abundant number, since it is smaller than the sum of its proper divisors (9648959263584).

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

4042656804000 is a wasteful number, since it uses less digits than its factorization.

4042656804000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16477 (or 16459 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The spelling of 4042656804000 in words is "four trillion, forty-two billion, six hundred fifty-six million, eight hundred four thousand".