41808990168288 has 1200 divisors, whose sum is σ = 154226516209920. Its totient is φ = 11074465608192.

The previous prime is 41808990168203. The next prime is 41808990168317. The reversal of 41808990168288 is 88286109980814.

41808990168288 is a `hidden beast` number, since 4 + 180 + 8 + 9 + 9 + 0 + 168 + 288 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 5557485295 + ... + 5557492817.

Almost surely, 2^{41808990168288} is an apocalyptic number.

41808990168288 is a gapful number since it is divisible by the number (48) 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 41808990168288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77113258104960).

41808990168288 is an abundant number, since it is smaller than the sum of its proper divisors (112417526041632).

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

41808990168288 is an equidigital number, since it uses as much as digits as its factorization.

41808990168288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7639 (or 7601 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 72.

The spelling of 41808990168288 in words is "forty-one trillion, eight hundred eight billion, nine hundred ninety million, one hundred sixty-eight thousand, two hundred eighty-eight".