41657395648 has 56 divisors (see below), whose sum is σ = 90394657920. Its totient is φ = 18889854720.

The previous prime is 41657395631. The next prime is 41657395657. The reversal of 41657395648 is 84659375614.

41657395648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41657395648² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41657395592 and 41657395601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224365 + ... + 365587.

It is an arithmetic number, because the mean of its divisors is an integer number (1614190320).

Almost surely, 2^41657395648 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 41657395648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45197328960).

41657395648 is an abundant number, since it is smaller than the sum of its proper divisors (48737262272).

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

41657395648 is a wasteful number, since it uses less digits than its factorization.

41657395648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141665 (or 141655 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 58.

The spelling of 41657395648 in words is "forty-one billion, six hundred fifty-seven million, three hundred ninety-five thousand, six hundred forty-eight".