41328629662464 has 108 divisors (see below), whose sum is σ = 119252510633256. Its totient is φ = 13765587296256.

The previous prime is 41328629662451. The next prime is 41328629662471. The reversal of 41328629662464 is 46426692682314.

41328629662464 is a `hidden beast` number, since 4 + 1 + 3 + 2 + 86 + 2 + 96 + 6 + 2 + 464 = 666.

It is a super-3 number, since 3×41328629662464³ (a number of 42 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3926814 + ... + 9903389.

Almost surely, 2^{41328629662464} is an apocalyptic number.

It is an amenable number.

41328629662464 is an abundant number, since it is smaller than the sum of its proper divisors (77923880970792).

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

41328629662464 is a wasteful number, since it uses less digits than its factorization.

41328629662464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13831522 (or 13831505 counting only the distinct ones).

The product of its digits is 143327232, while the sum is 63.

The spelling of 41328629662464 in words is "forty-one trillion, three hundred twenty-eight billion, six hundred twenty-nine million, six hundred sixty-two thousand, four hundred sixty-four".