41828081664 has 224 divisors, whose sum is σ = 120387526560. Its totient is φ = 12868124672.

The previous prime is 41828081651. The next prime is 41828081671. The reversal of 41828081664 is 46618082814.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22142032 + ... + 22143920.

It is an arithmetic number, because the mean of its divisors is an integer number (537444315).

Almost surely, 2^41828081664 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 41828081664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60193763280).

41828081664 is an abundant number, since it is smaller than the sum of its proper divisors (78559444896).

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

41828081664 is a wasteful number, since it uses less digits than its factorization.

41828081664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The spelling of 41828081664 in words is "forty-one billion, eight hundred twenty-eight million, eighty-one thousand, six hundred sixty-four".