41533965648 has 600 divisors, whose sum is σ = 152401629600. Its totient is φ = 10845467136.

The previous prime is 41533965587. The next prime is 41533965653. The reversal of 41533965648 is 84656933514.

41533965648 is a `hidden beast` number, since 4 + 1 + 533 + 9 + 65 + 6 + 48 = 666.

It is a super-3 number, since 3×41533965648³ (a number of 33 digits) contains 333 as substring.

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 = 41533965594 and 41533965603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 34990111 + ... + 34991297.

It is an arithmetic number, because the mean of its divisors is an integer number (254002716).

Almost surely, 2^41533965648 is an apocalyptic number.

41533965648 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 41533965648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76200814800).

41533965648 is an abundant number, since it is smaller than the sum of its proper divisors (110867663952).

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

41533965648 is a wasteful number, since it uses less digits than its factorization.

41533965648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1247 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 41533965648 in words is "forty-one billion, five hundred thirty-three million, nine hundred sixty-five thousand, six hundred forty-eight".