41586985098225 has 72 divisors (see below), whose sum is σ = 86939130420480. Its totient is φ = 18606699682560.

The previous prime is 41586985098221. The next prime is 41586985098283. The reversal of 41586985098225 is 52289058968514.

It is a happy number.

41586985098225 is a `hidden beast` number, since 4 + 1 + 5 + 8 + 6 + 98 + 509 + 8 + 2 + 25 = 666.

It is not a de Polignac number, because 41586985098225 - 2² = 41586985098221 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41586985098221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 280824220 + ... + 280972269.

Almost surely, 2^{41586985098225} is an apocalyptic number.

41586985098225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41586985098225 is an abundant number, since it is smaller than the sum of its proper divisors (45352145322255).

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

41586985098225 is a wasteful number, since it uses less digits than its factorization.

41586985098225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561796559 (or 561796551 counting only the distinct ones).

The product of its (nonzero) digits is 497664000, while the sum is 72.

The spelling of 41586985098225 in words is "forty-one trillion, five hundred eighty-six billion, nine hundred eighty-five million, ninety-eight thousand, two hundred twenty-five".