34121212441404 has 144 divisors (see below), whose sum is σ = 92606601870720. Its totient is φ = 9695360445440.

The previous prime is 34121212441343. The next prime is 34121212441409. The reversal of 34121212441404 is 40414421212143.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34121212441409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8599279 + ... + 11924345.

It is an arithmetic number, because the mean of its divisors is an integer number (643101401880).

Almost surely, 2^{34121212441404} is an apocalyptic number.

34121212441404 is a gapful number since it is divisible by the number (34) 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 34121212441404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46303300935360).

34121212441404 is an abundant number, since it is smaller than the sum of its proper divisors (58485389429316).

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

34121212441404 is a wasteful number, since it uses less digits than its factorization.

34121212441404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3325388 (or 3325369 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 34121212441404 its reverse (40414421212143), we get a palindrome (74535633653547).

The spelling of 34121212441404 in words is "thirty-four trillion, one hundred twenty-one billion, two hundred twelve million, four hundred forty-one thousand, four hundred four".