411432004100 has 54 divisors (see below), whose sum is σ = 966767868990. Its totient is φ = 151913349120.

The previous prime is 411432004043. The next prime is 411432004111. The reversal of 411432004100 is 1400234114.

It can be written as a sum of positive squares in 9 ways, for example, as 329951443396 + 81480560704 = 574414^2 + 285448^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 17 ways as a sum of consecutive naturals, for example, 12155645 + ... + 12189444.

It is an arithmetic number, because the mean of its divisors is an integer number (17903108685).

Almost surely, 2^411432004100 is an apocalyptic number.

It is an amenable number.

411432004100 is an abundant number, since it is smaller than the sum of its proper divisors (555335864890).

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

411432004100 is a wasteful number, since it uses less digits than its factorization.

411432004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24345129 (or 24345109 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 411432004100 its reverse (1400234114), we get a palindrome (412832238214).

The spelling of 411432004100 in words is "four hundred eleven billion, four hundred thirty-two million, four thousand, one hundred".