41664000000 has 728 divisors, whose sum is σ = 163817903104. Its totient is φ = 9216000000.

The previous prime is 41663999987. The next prime is 41664000017. The reversal of 41664000000 is 46614.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1343999985 + ... + 1344000015.

Almost surely, 2^41664000000 is an apocalyptic number.

41664000000 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 41664000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81908951552).

41664000000 is an abundant number, since it is smaller than the sum of its proper divisors (122153903104).

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

41664000000 is an frugal number, since it uses more digits than its factorization.

41664000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 41664000000 its reverse (46614), we get a palindrome (41664046614).

The spelling of 41664000000 in words is "forty-one billion, six hundred sixty-four million", and thus it is an aban number.