4042238197680 has 200 divisors, whose sum is σ = 14042056050000. Its totient is φ = 1077717975552.

The previous prime is 4042238197661. The next prime is 4042238197681. The reversal of 4042238197680 is 867918322404.

4042238197680 is a `hidden beast` number, since 40 + 422 + 38 + 1 + 9 + 76 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4042238197681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34343571 + ... + 34461069.

It is an arithmetic number, because the mean of its divisors is an integer number (70210280250).

Almost surely, 2^{4042238197680} is an apocalyptic number.

4042238197680 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 4042238197680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7021028025000).

4042238197680 is an abundant number, since it is smaller than the sum of its proper divisors (9999817852320).

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

4042238197680 is a wasteful number, since it uses less digits than its factorization.

4042238197680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122833 (or 122818 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 4042238197680 in words is "four trillion, forty-two billion, two hundred thirty-eight million, one hundred ninety-seven thousand, six hundred eighty".