41641464900 has 144 divisors (see below), whose sum is σ = 137798958080. Its totient is φ = 9510825600.

The previous prime is 41641464899. The next prime is 41641464911. The reversal of 41641464900 is 946414614.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3057105 + ... + 3070695.

Almost surely, 2^41641464900 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 41641464900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68899479040).

41641464900 is an abundant number, since it is smaller than the sum of its proper divisors (96157493180).

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

41641464900 is a wasteful number, since it uses less digits than its factorization.

41641464900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15074 (or 15067 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 41641464900 in words is "forty-one billion, six hundred forty-one million, four hundred sixty-four thousand, nine hundred".