41617981440 has 660 divisors, whose sum is σ = 173568646746. Its totient is φ = 9512681472.

The previous prime is 41617981439. The next prime is 41617981459. The reversal of 41617981440 is 4418971614.

41617981440 is a `hidden beast` number, since 4 + 1 + 61 + 79 + 81 + 440 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37456183296 + 4161798144 = 193536^2 + 64512^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5945425917 + ... + 5945425923.

Almost surely, 2^41617981440 is an apocalyptic number.

41617981440 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 41617981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86784323373).

41617981440 is an abundant number, since it is smaller than the sum of its proper divisors (131950665306).

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

41617981440 is an frugal number, since it uses more digits than its factorization.

41617981440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 41617981440 in words is "forty-one billion, six hundred seventeen million, nine hundred eighty-one thousand, four hundred forty".