4413042314040 has 128 divisors (see below), whose sum is σ = 13523516559360. Its totient is φ = 1151542232064.

The previous prime is 4413042314033. The next prime is 4413042314099. The reversal of 4413042314040 is 404132403144.

It is a super-2 number, since 2×4413042314040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4413042313989 and 4413042314007.

It is a congruent number.

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, 29066164 + ... + 29217596.

It is an arithmetic number, because the mean of its divisors is an integer number (105652473120).

Almost surely, 2^{4413042314040} is an apocalyptic number.

4413042314040 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 4413042314040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6761758279680).

4413042314040 is an abundant number, since it is smaller than the sum of its proper divisors (9110474245320).

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

4413042314040 is a wasteful number, since it uses less digits than its factorization.

4413042314040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156661 (or 156657 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 4413042314040 its reverse (404132403144), we get a palindrome (4817174717184).

The spelling of 4413042314040 in words is "four trillion, four hundred thirteen billion, forty-two million, three hundred fourteen thousand, forty".