413234240100 has 144 divisors (see below), whose sum is σ = 1311525598656. Its totient is φ = 99624384000.

The previous prime is 413234240059. The next prime is 413234240119. The reversal of 413234240100 is 1042432314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251382 + ... + 943218.

Almost surely, 2^413234240100 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 413234240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655762799328).

413234240100 is an abundant number, since it is smaller than the sum of its proper divisors (898291358556).

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

413234240100 is a wasteful number, since it uses less digits than its factorization.

413234240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692046 (or 692039 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 413234240100 its reverse (1042432314), we get a palindrome (414276672414).

The spelling of 413234240100 in words is "four hundred thirteen billion, two hundred thirty-four million, two hundred forty thousand, one hundred".