41131819626048 has 168 divisors, whose sum is σ = 123367932682488. Its totient is φ = 13088350199808.

The previous prime is 41131819626017. The next prime is 41131819626049. The reversal of 41131819626048 is 84062691813114.

41131819626048 is a `hidden beast` number, since 4 + 1 + 1 + 3 + 1 + 8 + 1 + 9 + 626 + 0 + 4 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22830124935744 + 18301694690304 = 4778088^2 + 4278048^2 .

It is a junction number, because it is equal to n+sod(n) for n = 41131819625985 and 41131819626003.

It is not an unprimeable number, because it can be changed into a prime (41131819626049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17077861 + ... + 19336932.

Almost surely, 2^{41131819626048} is an apocalyptic number.

41131819626048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41131819626048 is an abundant number, since it is smaller than the sum of its proper divisors (82236113056440).

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

41131819626048 is a wasteful number, since it uses less digits than its factorization.

41131819626048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36414901 (or 36414888 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 41131819626048 in words is "forty-one trillion, one hundred thirty-one billion, eight hundred nineteen million, six hundred twenty-six thousand, forty-eight".