41729690880 has 432 divisors, whose sum is σ = 153877389120. Its totient is φ = 10410688512.

The previous prime is 41729690879. The next prime is 41729690897. The reversal of 41729690880 is 8809692714.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18165892 + ... + 18168188.

It is an arithmetic number, because the mean of its divisors is an integer number (356197660).

Almost surely, 2^41729690880 is an apocalyptic number.

41729690880 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 41729690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76938694560).

41729690880 is an abundant number, since it is smaller than the sum of its proper divisors (112147698240).

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

41729690880 is a wasteful number, since it uses less digits than its factorization.

41729690880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 41729690880 in words is "forty-one billion, seven hundred twenty-nine million, six hundred ninety thousand, eight hundred eighty".