41287502100 has 144 divisors (see below), whose sum is σ = 129139984512. Its totient is φ = 10124183040.

The previous prime is 41287502083. The next prime is 41287502129. The reversal of 41287502100 is 120578214.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1005574 + ... + 1045826.

It is an arithmetic number, because the mean of its divisors is an integer number (896805448).

Almost surely, 2^41287502100 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 41287502100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64569992256).

41287502100 is an abundant number, since it is smaller than the sum of its proper divisors (87852482412).

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

41287502100 is a wasteful number, since it uses less digits than its factorization.

41287502100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40546 (or 40539 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The spelling of 41287502100 in words is "forty-one billion, two hundred eighty-seven million, five hundred two thousand, one hundred".