42811385504 has 96 divisors (see below), whose sum is σ = 90005126400. Its totient is φ = 19987430400.

The previous prime is 42811385503. The next prime is 42811385509. The reversal of 42811385504 is 40558311824.

It is not an unprimeable number, because it can be changed into a prime (42811385503) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14675054 + ... + 14677970.

It is an arithmetic number, because the mean of its divisors is an integer number (937553400).

Almost surely, 2^42811385504 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 42811385504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45002563200).

42811385504 is an abundant number, since it is smaller than the sum of its proper divisors (47193740896).

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

42811385504 is a wasteful number, since it uses less digits than its factorization.

42811385504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3286 (or 3278 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 41.

The spelling of 42811385504 in words is "forty-two billion, eight hundred eleven million, three hundred eighty-five thousand, five hundred four".