41967656448 has 160 divisors (see below), whose sum is σ = 114085614720. Its totient is φ = 13705666560.

The previous prime is 41967656447. The next prime is 41967656453. The reversal of 41967656448 is 84465676914.

It is a happy number.

It is a super-2 number, since 2×41967656448² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41967656391 and 41967656400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41967656447) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 28763943 + ... + 28765401.

It is an arithmetic number, because the mean of its divisors is an integer number (713035092).

Almost surely, 2^41967656448 is an apocalyptic number.

41967656448 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 41967656448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57042807360).

41967656448 is an abundant number, since it is smaller than the sum of its proper divisors (72117958272).

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

41967656448 is a wasteful number, since it uses less digits than its factorization.

41967656448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1832 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 60.

The spelling of 41967656448 in words is "forty-one billion, nine hundred sixty-seven million, six hundred fifty-six thousand, four hundred forty-eight".