41738966640 has 720 divisors, whose sum is σ = 171843429888. Its totient is φ = 8876583936.

The previous prime is 41738966609. The next prime is 41738966651. The reversal of 41738966640 is 4666983714.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 256067199 + ... + 256067361.

Almost surely, 2^41738966640 is an apocalyptic number.

41738966640 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 41738966640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85921714944).

41738966640 is an abundant number, since it is smaller than the sum of its proper divisors (130104463248).

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

41738966640 is a wasteful number, since it uses less digits than its factorization.

41738966640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 41738966640 in words is "forty-one billion, seven hundred thirty-eight million, nine hundred sixty-six thousand, six hundred forty".