41647764900 has 144 divisors (see below), whose sum is σ = 139375079424. Its totient is φ = 9404757120.

The previous prime is 41647764887. The next prime is 41647764923. The reversal of 41647764900 is 946774614.

41647764900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 41647764900.

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, 54829 + ... + 293771.

It is an arithmetic number, because the mean of its divisors is an integer number (967882496).

Almost surely, 2^41647764900 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 41647764900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69687539712).

41647764900 is an abundant number, since it is smaller than the sum of its proper divisors (97727314524).

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

41647764900 is a wasteful number, since it uses less digits than its factorization.

41647764900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239050 (or 239043 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 41647764900 in words is "forty-one billion, six hundred forty-seven million, seven hundred sixty-four thousand, nine hundred".