41142434042100 has 144 divisors (see below), whose sum is σ = 120311191465920. Its totient is φ = 10854211968000.

The previous prime is 41142434042033. The next prime is 41142434042123. The reversal of 41142434042100 is 124043424114.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 38345736 + ... + 39404064.

It is an arithmetic number, because the mean of its divisors is an integer number (835494385180).

Almost surely, 2^{41142434042100} 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 41142434042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60155595732960).

41142434042100 is an abundant number, since it is smaller than the sum of its proper divisors (79168757423820).

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

41142434042100 is a wasteful number, since it uses less digits than its factorization.

41142434042100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059730 (or 1059723 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 41142434042100 its reverse (124043424114), we get a palindrome (41266477466214).

The spelling of 41142434042100 in words is "forty-one trillion, one hundred forty-two billion, four hundred thirty-four million, forty-two thousand, one hundred".