4042412241440 has 96 divisors (see below), whose sum is σ = 9593851196160. Its totient is φ = 1609590528000.

The previous prime is 4042412241377. The next prime is 4042412241457. The reversal of 4042412241440 is 441422142404.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4042412241397 and 4042412241406.

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 15 ways as a sum of consecutive naturals, for example, 31529465 + ... + 31657415.

It is an arithmetic number, because the mean of its divisors is an integer number (99935949960).

Almost surely, 2^{4042412241440} is an apocalyptic number.

4042412241440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042412241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4796925598080).

4042412241440 is an abundant number, since it is smaller than the sum of its proper divisors (5551438954720).

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

4042412241440 is a wasteful number, since it uses less digits than its factorization.

4042412241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128866 (or 128858 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 4042412241440 its reverse (441422142404), we get a palindrome (4483834383844).

The spelling of 4042412241440 in words is "four trillion, forty-two billion, four hundred twelve million, two hundred forty-one thousand, four hundred forty".