34413440213404 has 36 divisors (see below), whose sum is σ = 70526105962200. Its totient is φ = 14649633213600.

The previous prime is 34413440213387. The next prime is 34413440213419. The reversal of 34413440213404 is 40431204431443.

It is a happy number.

It is a super-4 number, since 4×34413440213404⁴ (a number of 55 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 589161322 + ... + 589219729.

It is an arithmetic number, because the mean of its divisors is an integer number (1959058498950).

Almost surely, 2^{34413440213404} is an apocalyptic number.

It is an amenable number.

34413440213404 is an abundant number, since it is smaller than the sum of its proper divisors (36112665748796).

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

34413440213404 is a wasteful number, since it uses less digits than its factorization.

34413440213404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178381218 (or 1178381209 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 37.

Adding to 34413440213404 its reverse (40431204431443), we get a palindrome (74844644644847).

The spelling of 34413440213404 in words is "thirty-four trillion, four hundred thirteen billion, four hundred forty million, two hundred thirteen thousand, four hundred four".