41928000720 has 320 divisors, whose sum is σ = 140605286400. Its totient is φ = 10303027200.

The previous prime is 41928000649. The next prime is 41928000749. The reversal of 41928000720 is 2700082914.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27172269 + ... + 27173811.

It is an arithmetic number, because the mean of its divisors is an integer number (439391520).

Almost surely, 2^41928000720 is an apocalyptic number.

41928000720 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 41928000720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70302643200).

41928000720 is an abundant number, since it is smaller than the sum of its proper divisors (98677285680).

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

41928000720 is a wasteful number, since it uses less digits than its factorization.

41928000720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 41928000720 in words is "forty-one billion, nine hundred twenty-eight million, seven hundred twenty", and thus it is an aban number.