41589961920 has 280 divisors, whose sum is σ = 159324318384. Its totient is φ = 10237446144.

The previous prime is 41589961909. The next prime is 41589961937. The reversal of 41589961920 is 2916998514.

41589961920 is a `hidden beast` number, since 4 + 15 + 8 + 9 + 9 + 619 + 2 + 0 = 666.

41589961920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 275247 + ... + 398673.

Almost surely, 2^41589961920 is an apocalyptic number.

41589961920 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 41589961920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79662159192).

41589961920 is an abundant number, since it is smaller than the sum of its proper divisors (117734356464).

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

41589961920 is a wasteful number, since it uses less digits than its factorization.

41589961920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123469 (or 123450 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 41589961920 in words is "forty-one billion, five hundred eighty-nine million, nine hundred sixty-one thousand, nine hundred twenty".