41691467664 has 480 divisors, whose sum is σ = 155552544000. Its totient is φ = 10452879360.

The previous prime is 41691467621. The next prime is 41691467677. The reversal of 41691467664 is 46676419614.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 41691467664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10609252 + ... + 10613180.

It is an arithmetic number, because the mean of its divisors is an integer number (324067800).

Almost surely, 2^41691467664 is an apocalyptic number.

41691467664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41691467664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77776272000).

41691467664 is an abundant number, since it is smaller than the sum of its proper divisors (113861076336).

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

41691467664 is a wasteful number, since it uses less digits than its factorization.

41691467664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4004 (or 3981 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 41691467664 in words is "forty-one billion, six hundred ninety-one million, four hundred sixty-seven thousand, six hundred sixty-four".