41431413100 has 144 divisors (see below), whose sum is σ = 113765218560. Its totient is φ = 12720787200.

The previous prime is 41431413097. The next prime is 41431413113. The reversal of 41431413100 is 131413414.

It is a happy number.

It is a super-2 number, since 2×41431413100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 475746 + ... + 556054.

It is an arithmetic number, because the mean of its divisors is an integer number (790036240).

Almost surely, 2^41431413100 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 41431413100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56882609280).

41431413100 is an abundant number, since it is smaller than the sum of its proper divisors (72333805460).

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

41431413100 is a wasteful number, since it uses less digits than its factorization.

41431413100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80408 (or 80401 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 41431413100 its reverse (131413414), we get a palindrome (41562826514).

The spelling of 41431413100 in words is "forty-one billion, four hundred thirty-one million, four hundred thirteen thousand, one hundred".