41257845504 has 144 divisors (see below), whose sum is σ = 122216483200. Its totient is φ = 13728973824.

The previous prime is 41257845481. The next prime is 41257845523. The reversal of 41257845504 is 40554875214.

41257845504 is a `hidden beast` number, since 4 + 1 + 25 + 78 + 4 + 550 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 41257845504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4273707 + ... + 4283349.

Almost surely, 2^41257845504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41257845504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61108241600).

41257845504 is an abundant number, since it is smaller than the sum of its proper divisors (80958637696).

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

41257845504 is an equidigital number, since it uses as much as digits as its factorization.

41257845504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10287 (or 10267 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 45.

The spelling of 41257845504 in words is "forty-one billion, two hundred fifty-seven million, eight hundred forty-five thousand, five hundred four".