41072728320 has 720 divisors, whose sum is σ = 163542500352. Its totient is φ = 9774120960.

The previous prime is 41072728309. The next prime is 41072728321. The reversal of 41072728320 is 2382727014.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (41072728321) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41782549 + ... + 41783531.

Almost surely, 2^41072728320 is an apocalyptic number.

41072728320 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 41072728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81771250176).

41072728320 is an abundant number, since it is smaller than the sum of its proper divisors (122469772032).

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

41072728320 is a wasteful number, since it uses less digits than its factorization.

41072728320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 41072728320 in words is "forty-one billion, seventy-two million, seven hundred twenty-eight thousand, three hundred twenty".