41090828463360 has 576 divisors, whose sum is σ = 158970744092160. Its totient is φ = 10114656509952.

The previous prime is 41090828463341. The next prime is 41090828463379. The reversal of 41090828463360 is 6336482809014.

41090828463360 is a `hidden beast` number, since 4 + 10 + 90 + 8 + 28 + 463 + 3 + 60 = 666.

41090828463360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41090828463341) and next prime (41090828463379).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 41090828463297 and 41090828463306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35827117 + ... + 36956243.

It is an arithmetic number, because the mean of its divisors is an integer number (275990875160).

Almost surely, 2^{41090828463360} is an apocalyptic number.

41090828463360 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 41090828463360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79485372046080).

41090828463360 is an abundant number, since it is smaller than the sum of its proper divisors (117879915628800).

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

41090828463360 is an equidigital number, since it uses as much as digits as its factorization.

41090828463360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129182 (or 1129150 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 41090828463360 in words is "forty-one trillion, ninety billion, eight hundred twenty-eight million, four hundred sixty-three thousand, three hundred sixty".