41831664000 has 512 divisors, whose sum is σ = 165403330560. Its totient is φ = 9144115200.

The previous prime is 41831663957. The next prime is 41831664029. The reversal of 41831664000 is 46613814.

It is a super-2 number, since 2×41831664000² (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, 7725294 + ... + 7730706.

It is an arithmetic number, because the mean of its divisors is an integer number (323053380).

Almost surely, 2^41831664000 is an apocalyptic number.

41831664000 is a gapful number since it is divisible by the number (40) 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 41831664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82701665280).

41831664000 is an abundant number, since it is smaller than the sum of its proper divisors (123571666560).

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

41831664000 is a wasteful number, since it uses less digits than its factorization.

41831664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5475 (or 5453 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 41831664000 in words is "forty-one billion, eight hundred thirty-one million, six hundred sixty-four thousand".