41431424444100 has 216 divisors, whose sum is σ = 133470025809120. Its totient is φ = 10743899120640.

The previous prime is 41431424444027. The next prime is 41431424444107. The reversal of 41431424444100 is 144442413414.

41431424444100 is a `hidden beast` number, since 4 + 1 + 431 + 42 + 44 + 44 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (41431424444107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6426796 + ... + 11143004.

Almost surely, 2^{41431424444100} 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 41431424444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66735012904560).

41431424444100 is an abundant number, since it is smaller than the sum of its proper divisors (92038601365020).

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

41431424444100 is a wasteful number, since it uses less digits than its factorization.

41431424444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4716499 (or 4716489 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 41431424444100 its reverse (144442413414), we get a palindrome (41575866857514).

The spelling of 41431424444100 in words is "forty-one trillion, four hundred thirty-one billion, four hundred twenty-four million, four hundred forty-four thousand, one hundred".