34411040411100 has 72 divisors (see below), whose sum is σ = 99581410892208. Its totient is φ = 9174544665600.

The previous prime is 34411040411089. The next prime is 34411040411149. The reversal of 34411040411100 is 111404011443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9238111 + ... + 12416310.

Almost surely, 2^{34411040411100} is an apocalyptic number.

34411040411100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34411040411100 is an abundant number, since it is smaller than the sum of its proper divisors (65170370481108).

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

34411040411100 is a wasteful number, since it uses less digits than its factorization.

34411040411100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21659735 (or 21659728 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 34411040411100 its reverse (111404011443), we get a palindrome (34522444422543).

The spelling of 34411040411100 in words is "thirty-four trillion, four hundred eleven billion, forty million, four hundred eleven thousand, one hundred".