41600726400960 has 448 divisors, whose sum is σ = 159465546854400. Its totient is φ = 10170634752000.

The previous prime is 41600726400901. The next prime is 41600726401001. The reversal of 41600726400960 is 6900462700614.

41600726400960 is a `hidden beast` number, since 4 + 160 + 0 + 7 + 26 + 400 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1001610 + ... + 9176310.

Almost surely, 2^{41600726400960} is an apocalyptic number.

41600726400960 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 41600726400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79732773427200).

41600726400960 is an abundant number, since it is smaller than the sum of its proper divisors (117864820453440).

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

41600726400960 is a wasteful number, since it uses less digits than its factorization.

41600726400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8174777 (or 8174761 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 41600726400960 in words is "forty-one trillion, six hundred billion, seven hundred twenty-six million, four hundred thousand, nine hundred sixty".