4042389299872 has 384 divisors, whose sum is σ = 10411773861888. Its totient is φ = 1512085386240.

The previous prime is 4042389299827. The next prime is 4042389299917. The reversal of 4042389299872 is 2789929832404.

It is an interprime number because it is at equal distance from previous prime (4042389299827) and next prime (4042389299917).

It is a super-2 number, since 2×4042389299872² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4042389299798 and 4042389299807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 742673983 + ... + 742679425.

It is an arithmetic number, because the mean of its divisors is an integer number (27113994432).

Almost surely, 2^{4042389299872} 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 4042389299872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5205886930944).

4042389299872 is an abundant number, since it is smaller than the sum of its proper divisors (6369384562016).

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

4042389299872 is a wasteful number, since it uses less digits than its factorization.

4042389299872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5593 (or 5563 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 67.

The spelling of 4042389299872 in words is "four trillion, forty-two billion, three hundred eighty-nine million, two hundred ninety-nine thousand, eight hundred seventy-two".