34112411443404 has 96 divisors (see below), whose sum is σ = 102209472691200. Its totient is φ = 9636893101440.

The previous prime is 34112411443391. The next prime is 34112411443423. The reversal of 34112411443404 is 40434411421143.

34112411443404 is a `hidden beast` number, since 3 + 4 + 1 + 1 + 241 + 1 + 4 + 4 + 3 + 404 = 666.

It is a super-2 number, since 2×34112411443404² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 253428432 + ... + 253562999.

It is an arithmetic number, because the mean of its divisors is an integer number (1064682007200).

Almost surely, 2^{34112411443404} is an apocalyptic number.

It is an amenable number.

34112411443404 is an abundant number, since it is smaller than the sum of its proper divisors (68097061247796).

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

34112411443404 is a wasteful number, since it uses less digits than its factorization.

34112411443404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506991540 (or 506991532 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 34112411443404 its reverse (40434411421143), we get a palindrome (74546822864547).

The spelling of 34112411443404 in words is "thirty-four trillion, one hundred twelve billion, four hundred eleven million, four hundred forty-three thousand, four hundred four".