41148160385600 has 84 divisors (see below), whose sum is σ = 101573676427044. Its totient is φ = 16406678446080.

The previous prime is 41148160385573. The next prime is 41148160385603. The reversal of 41148160385600 is 658306184114.

It can be written as a sum of positive squares in 6 ways, for example, as 5342680907776 + 35805479477824 = 2311424^2 + 5983768^2 .

It is a super-2 number, since 2×41148160385600² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41148160385603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40581629 + ... + 41583228.

Almost surely, 2^{41148160385600} is an apocalyptic number.

41148160385600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41148160385600 is an abundant number, since it is smaller than the sum of its proper divisors (60425516041444).

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

41148160385600 is a wasteful number, since it uses less digits than its factorization.

41148160385600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82165192 (or 82165177 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 47.

The spelling of 41148160385600 in words is "forty-one trillion, one hundred forty-eight billion, one hundred sixty million, three hundred eighty-five thousand, six hundred".