41014400100 has 216 divisors, whose sum is σ = 123399476928. Its totient is φ = 10510041600.

The previous prime is 41014400093. The next prime is 41014400129. The reversal of 41014400100 is 100441014.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 41014400100.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 131878945 + ... + 131879255.

Almost surely, 2^41014400100 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 41014400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61699738464).

41014400100 is an abundant number, since it is smaller than the sum of its proper divisors (82385076828).

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

41014400100 is a wasteful number, since it uses less digits than its factorization.

41014400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 41014400100 its reverse (100441014), we get a palindrome (41114841114).

The spelling of 41014400100 in words is "forty-one billion, fourteen million, four hundred thousand, one hundred".