41648870957568 has 640 divisors, whose sum is σ = 139986468864000. Its totient is φ = 10728803745792.

The previous prime is 41648870957557. The next prime is 41648870957569. The reversal of 41648870957568 is 86575907884614.

It is a super-3 number, since 3×41648870957568³ (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41648870957493 and 41648870957502.

It is not an unprimeable number, because it can be changed into a prime (41648870957569) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 935003905 + ... + 935048447.

It is an arithmetic number, because the mean of its divisors is an integer number (218728857600).

Almost surely, 2^{41648870957568} is an apocalyptic number.

41648870957568 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 41648870957568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69993234432000).

41648870957568 is an abundant number, since it is smaller than the sum of its proper divisors (98337597906432).

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

41648870957568 is a wasteful number, since it uses less digits than its factorization.

41648870957568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44812 (or 44796 counting only the distinct ones).

The product of its (nonzero) digits is 3251404800, while the sum is 78.

The spelling of 41648870957568 in words is "forty-one trillion, six hundred forty-eight billion, eight hundred seventy million, nine hundred fifty-seven thousand, five hundred sixty-eight".