41084081664 has 160 divisors (see below), whose sum is σ = 110967183360. Its totient is φ = 13506355200.

The previous prime is 41084081657. The next prime is 41084081699. The reversal of 41084081664 is 46618048014.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 38431722 + ... + 38432790.

It is an arithmetic number, because the mean of its divisors is an integer number (693544896).

Almost surely, 2^41084081664 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 41084081664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55483591680).

41084081664 is an abundant number, since it is smaller than the sum of its proper divisors (69883101696).

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

41084081664 is a wasteful number, since it uses less digits than its factorization.

41084081664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 41084081664 in words is "forty-one billion, eighty-four million, eighty-one thousand, six hundred sixty-four".