41667065664 has 448 divisors, whose sum is σ = 136940544000. Its totient is φ = 10917199872.

The previous prime is 41667065659. The next prime is 41667065681. The reversal of 41667065664 is 46656076614.

41667065664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×41667065664² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 178828492 + ... + 178828724.

Almost surely, 2^41667065664 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 41667065664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68470272000).

41667065664 is an abundant number, since it is smaller than the sum of its proper divisors (95273478336).

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

41667065664 is a wasteful number, since it uses less digits than its factorization.

41667065664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 41667065664 in words is "forty-one billion, six hundred sixty-seven million, sixty-five thousand, six hundred sixty-four".