4042334000040 has 64 divisors (see below), whose sum is σ = 13859430860160. Its totient is φ = 923962056960.

The previous prime is 4042333999897. The next prime is 4042334000063. The reversal of 4042334000040 is 400004332404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2406150351 + ... + 2406152030.

It is an arithmetic number, because the mean of its divisors is an integer number (216553607190).

Almost surely, 2^{4042334000040} is an apocalyptic number.

4042334000040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042334000040 is an abundant number, since it is smaller than the sum of its proper divisors (9817096860120).

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

4042334000040 is a wasteful number, since it uses less digits than its factorization.

4042334000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4812302402 (or 4812302398 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 4042334000040 its reverse (400004332404), we get a palindrome (4442338332444).

The spelling of 4042334000040 in words is "four trillion, forty-two billion, three hundred thirty-four million, forty", and thus it is an aban number.