41413100214304 has 72 divisors (see below), whose sum is σ = 102139040482668. Its totient is φ = 16383204472320.

The previous prime is 41413100214293. The next prime is 41413100214323. The reversal of 41413100214304 is 40341200131414.

It can be written as a sum of positive squares in 2 ways, for example, as 38069541682704 + 3343558531600 = 6170052^2 + 1828540^2 .

It is a super-3 number, since 3×41413100214304³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1015803307 + ... + 1015844074.

Almost surely, 2^{41413100214304} is an apocalyptic number.

It is an amenable number.

41413100214304 is an abundant number, since it is smaller than the sum of its proper divisors (60725940268364).

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

41413100214304 is a wasteful number, since it uses less digits than its factorization.

41413100214304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031647418 (or 2031647403 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 41413100214304 its reverse (40341200131414), we get a palindrome (81754300345718).

The spelling of 41413100214304 in words is "forty-one trillion, four hundred thirteen billion, one hundred million, two hundred fourteen thousand, three hundred four".