41320115760 has 960 divisors, whose sum is σ = 170229104640. Its totient is φ = 8105011200.

The previous prime is 41320115743. The next prime is 41320115789. The reversal of 41320115760 is 6751102314.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 497832679 + ... + 497832761.

It is an arithmetic number, because the mean of its divisors is an integer number (177321984).

Almost surely, 2^41320115760 is an apocalyptic number.

41320115760 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 41320115760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85114552320).

41320115760 is an abundant number, since it is smaller than the sum of its proper divisors (128908988880).

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

41320115760 is a wasteful number, since it uses less digits than its factorization.

41320115760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

It can be divided in two parts, 41320 and 115760, that added together give a triangular number (157080 = T₅₆₀).

The spelling of 41320115760 in words is "forty-one billion, three hundred twenty million, one hundred fifteen thousand, seven hundred sixty".