41728865904 has 240 divisors, whose sum is σ = 132385693440. Its totient is φ = 12619514880.

The previous prime is 41728865879. The next prime is 41728865911. The reversal of 41728865904 is 40956882714.

It is a happy number.

41728865904 is a `hidden beast` number, since 41 + 7 + 2 + 8 + 8 + 6 + 590 + 4 = 666.

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

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, 41356152 + ... + 41357160.

It is an arithmetic number, because the mean of its divisors is an integer number (551607056).

Almost surely, 2^41728865904 is an apocalyptic number.

41728865904 is a gapful number since it is divisible by the number (44) 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 41728865904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66192846720).

41728865904 is an abundant number, since it is smaller than the sum of its proper divisors (90656827536).

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

41728865904 is a wasteful number, since it uses less digits than its factorization.

41728865904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 41728865904 in words is "forty-one billion, seven hundred twenty-eight million, eight hundred sixty-five thousand, nine hundred four".