41234414312100 has 144 divisors (see below), whose sum is σ = 119438605440000. Its totient is φ = 10983527483520.

The previous prime is 41234414312033. The next prime is 41234414312101. The reversal of 41234414312100 is 121341443214.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (41234414312101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1186686927 + ... + 1186721673.

It is an arithmetic number, because the mean of its divisors is an integer number (829434760000).

Almost surely, 2^{41234414312100} is an apocalyptic number.

It is an amenable number.

41234414312100 is an abundant number, since it is smaller than the sum of its proper divisors (78204191127900).

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

41234414312100 is a wasteful number, since it uses less digits than its factorization.

41234414312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39082 (or 39075 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 41234414312100 its reverse (121341443214), we get a palindrome (41355755755314).

The spelling of 41234414312100 in words is "forty-one trillion, two hundred thirty-four billion, four hundred fourteen million, three hundred twelve thousand, one hundred".