34141231404 has 240 divisors, whose sum is σ = 107735147520. Its totient is φ = 9209894400.

The previous prime is 34141231379. The next prime is 34141231433. The reversal of 34141231404 is 40413214143.

34141231404 is a `hidden beast` number, since 341 + 4 + 1 + 2 + 314 + 0 + 4 = 666.

It is a super-2 number, since 2×34141231404² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14520829 + ... + 14523179.

It is an arithmetic number, because the mean of its divisors is an integer number (448896448).

Almost surely, 2^34141231404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34141231404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53867573760).

34141231404 is an abundant number, since it is smaller than the sum of its proper divisors (73593916116).

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

34141231404 is a wasteful number, since it uses less digits than its factorization.

34141231404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2730 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 34141231404 its reverse (40413214143), we get a palindrome (74554445547).

It can be divided in two parts, 341412 and 31404, that added together give a triangular number (372816 = T₈₆₃).

The spelling of 34141231404 in words is "thirty-four billion, one hundred forty-one million, two hundred thirty-one thousand, four hundred four".