41456706336 has 96 divisors (see below), whose sum is σ = 120960604800. Its totient is φ = 13813735680.

The previous prime is 41456706323. The next prime is 41456706349. The reversal of 41456706336 is 63360765414.

41456706336 is a `hidden beast` number, since 4 + 1 + 4 + 5 + 6 + 7 + 0 + 633 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (41456706323) and next prime (41456706349).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 41456706291 and 41456706300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2818810 + ... + 2833478.

It is an arithmetic number, because the mean of its divisors is an integer number (1260006300).

Almost surely, 2^41456706336 is an apocalyptic number.

It is an amenable number.

41456706336 is an abundant number, since it is smaller than the sum of its proper divisors (79503898464).

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

41456706336 is a wasteful number, since it uses less digits than its factorization.

41456706336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17959 (or 17945 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 41456706336 in words is "forty-one billion, four hundred fifty-six million, seven hundred six thousand, three hundred thirty-six".