41245958250 has 288 divisors, whose sum is σ = 131886250704. Its totient is φ = 9271584000.

The previous prime is 41245958227. The next prime is 41245958279. The reversal of 41245958250 is 5285954214.

41245958250 is a `hidden beast` number, since 4 + 1 + 2 + 4 + 595 + 8 + 2 + 50 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1336706721 + 39909251529 = 36561^2 + 199773^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 41245958196 and 41245958205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6722184 + ... + 6728316.

Almost surely, 2^41245958250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41245958250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65943125352).

41245958250 is an abundant number, since it is smaller than the sum of its proper divisors (90640292454).

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

41245958250 is a wasteful number, since it uses less digits than its factorization.

41245958250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6231 (or 6211 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 41245958250 in words is "forty-one billion, two hundred forty-five million, nine hundred fifty-eight thousand, two hundred fifty".