4142049997824 has 528 divisors, whose sum is σ = 12912253286400. Its totient is φ = 1274203865088.

The previous prime is 4142049997777. The next prime is 4142049997837. The reversal of 4142049997824 is 4287999402414.

4142049997824 is a `hidden beast` number, since 4 + 1 + 420 + 49 + 9 + 97 + 82 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1770862447 + ... + 1770864785.

Almost surely, 2^{4142049997824} 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 4142049997824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6456126643200).

4142049997824 is an abundant number, since it is smaller than the sum of its proper divisors (8770203288576).

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

4142049997824 is a wasteful number, since it uses less digits than its factorization.

4142049997824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 4142049997824 in words is "four trillion, one hundred forty-two billion, forty-nine million, nine hundred ninety-seven thousand, eight hundred twenty-four".