4042413033440 has 96 divisors (see below), whose sum is σ = 9878116038336. Its totient is φ = 1562210979840.

The previous prime is 4042413033413. The next prime is 4042413033553. The reversal of 4042413033440 is 443303142404.

It is a super-2 number, since 2×4042413033440² (a number of 26 digits) contains 22 as substring.

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 = 4042413033397 and 4042413033406.

It is a congruent number.

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, 2315687 + ... + 3667046.

It is an arithmetic number, because the mean of its divisors is an integer number (102897042066).

Almost surely, 2^{4042413033440} is an apocalyptic number.

4042413033440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042413033440 is an abundant number, since it is smaller than the sum of its proper divisors (5835703004896).

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

4042413033440 is a wasteful number, since it uses less digits than its factorization.

4042413033440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5982892 (or 5982884 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 4042413033440 its reverse (443303142404), we get a palindrome (4485716175844).

The spelling of 4042413033440 in words is "four trillion, forty-two billion, four hundred thirteen million, thirty-three thousand, four hundred forty".