41965477456914 has 48 divisors (see below), whose sum is σ = 99192406360320. Its totient is φ = 12716647526880.

The previous prime is 41965477456823. The next prime is 41965477456943.

41965477456914 is a `hidden beast` number, since 4 + 1 + 9 + 6 + 5 + 47 + 7 + 4 + 569 + 14 = 666.

41965477456914 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×41965477456914² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14508252 + ... + 17158680.

It is an arithmetic number, because the mean of its divisors is an integer number (2066508465840).

Almost surely, 2^{41965477456914} is an apocalyptic number.

41965477456914 is an abundant number, since it is smaller than the sum of its proper divisors (57226928903406).

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

41965477456914 is a wasteful number, since it uses less digits than its factorization.

41965477456914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2730415 (or 2730412 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 72.

The spelling of 41965477456914 in words is "forty-one trillion, nine hundred sixty-five billion, four hundred seventy-seven million, four hundred fifty-six thousand, nine hundred fourteen".