41640842880 has 1440 divisors, whose sum is σ = 189246920940. Its totient is φ = 8695185408.

The previous prime is 41640842869. The next prime is 41640842911. The reversal of 41640842880 is 8824804614.

41640842880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3597120576 + 38043722304 = 59976^2 + 195048^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 429286992 + ... + 429287088.

Almost surely, 2^41640842880 is an apocalyptic number.

41640842880 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 41640842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94623460470).

41640842880 is an abundant number, since it is smaller than the sum of its proper divisors (147606078060).

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

41640842880 is a wasteful number, since it uses less digits than its factorization.

41640842880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 41640842880 in words is "forty-one billion, six hundred forty million, eight hundred forty-two thousand, eight hundred eighty".