42801159456384 has 256 divisors, whose sum is σ = 133070300098560. Its totient is φ = 11936602828800.

The previous prime is 42801159456353. The next prime is 42801159456401. The reversal of 42801159456384 is 48365495110824.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20483497 + ... + 22476119.

It is an arithmetic number, because the mean of its divisors is an integer number (519805859760).

Almost surely, 2^{42801159456384} 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 42801159456384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66535150049280).

42801159456384 is an abundant number, since it is smaller than the sum of its proper divisors (90269140642176).

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

42801159456384 is a wasteful number, since it uses less digits than its factorization.

42801159456384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992839 (or 1992827 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 60.

The spelling of 42801159456384 in words is "forty-two trillion, eight hundred one billion, one hundred fifty-nine million, four hundred fifty-six thousand, three hundred eighty-four".