41729607680 has 96 divisors (see below), whose sum is σ = 100363536000. Its totient is φ = 16652353536.

The previous prime is 41729607581. The next prime is 41729607707. The reversal of 41729607680 is 8670692714.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4531721 + ... + 4540919.

It is an arithmetic number, because the mean of its divisors is an integer number (1045453500).

Almost surely, 2^41729607680 is an apocalyptic number.

41729607680 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 41729607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50181768000).

41729607680 is an abundant number, since it is smaller than the sum of its proper divisors (58633928320).

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

41729607680 is an equidigital number, since it uses as much as digits as its factorization.

41729607680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9669 (or 9649 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 50.

The spelling of 41729607680 in words is "forty-one billion, seven hundred twenty-nine million, six hundred seven thousand, six hundred eighty".