41001414410430 has 64 divisors (see below), whose sum is σ = 109344996371520. Its totient is φ = 10932921381888.

The previous prime is 41001414410387. The next prime is 41001414410431. The reversal of 41001414410430 is 3401441410014.

41001414410430 is a `hidden beast` number, since 4 + 100 + 141 + 4 + 410 + 4 + 3 + 0 = 666.

41001414410430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41001414410430² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 41001414410394 and 41001414410403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41001414410431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1727407 + ... + 9218826.

It is an arithmetic number, because the mean of its divisors is an integer number (1708515568305).

Almost surely, 2^{41001414410430} is an apocalyptic number.

41001414410430 is an abundant number, since it is smaller than the sum of its proper divisors (68343581961090).

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

41001414410430 is a wasteful number, since it uses less digits than its factorization.

41001414410430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10960122 (or 10960116 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 41001414410430 its reverse (3401441410014), we get a palindrome (44402855820444).

The spelling of 41001414410430 in words is "forty-one trillion, one billion, four hundred fourteen million, four hundred ten thousand, four hundred thirty".