41820098040 has 512 divisors, whose sum is σ = 167154278400. Its totient is φ = 9099786240.

The previous prime is 41820098011. The next prime is 41820098041. The reversal of 41820098040 is 4089002814.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41820097986 and 41820098004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41820098041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13145250 + ... + 13148430.

It is an arithmetic number, because the mean of its divisors is an integer number (326473200).

Almost surely, 2^41820098040 is an apocalyptic number.

41820098040 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 41820098040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83577139200).

41820098040 is an abundant number, since it is smaller than the sum of its proper divisors (125334180360).

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

41820098040 is a wasteful number, since it uses less digits than its factorization.

41820098040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3292 (or 3282 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 41820098040 in words is "forty-one billion, eight hundred twenty million, ninety-eight thousand, forty".