41330400403314 has 64 divisors (see below), whose sum is σ = 90681439790592. Its totient is φ = 12454244880000.

The previous prime is 41330400403277. The next prime is 41330400403333.

41330400403314 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8199429 + ... + 12243015.

It is an arithmetic number, because the mean of its divisors is an integer number (1416897496728).

Almost surely, 2^{41330400403314} is an apocalyptic number.

41330400403314 is an abundant number, since it is smaller than the sum of its proper divisors (49351039387278).

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

41330400403314 is a wasteful number, since it uses less digits than its factorization.

41330400403314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4044471.

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 41330400 and 403314, that added together give a palindrome (41733714).

The spelling of 41330400403314 in words is "forty-one trillion, three hundred thirty billion, four hundred million, four hundred three thousand, three hundred fourteen".