41257690848 has 168 divisors, whose sum is σ = 132855452856. Its totient is φ = 12502252800.

The previous prime is 41257690801. The next prime is 41257690853. The reversal of 41257690848 is 84809675214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 41257690794 and 41257690803.

It is a congruent number.

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 27 ways as a sum of consecutive naturals, for example, 176218 + ... + 336998.

It is an arithmetic number, because the mean of its divisors is an integer number (790806267).

Almost surely, 2^41257690848 is an apocalyptic number.

41257690848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41257690848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66427726428).

41257690848 is an abundant number, since it is smaller than the sum of its proper divisors (91597762008).

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

41257690848 is a wasteful number, since it uses less digits than its factorization.

41257690848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160820 (or 160797 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 41257690848 in words is "forty-one billion, two hundred fifty-seven million, six hundred ninety thousand, eight hundred forty-eight".