413400404220141 has 48 divisors (see below), whose sum is σ = 623918898187776. Its totient is φ = 242907145386048.

The previous prime is 413400404220121. The next prime is 413400404220149. The reversal of 413400404220141 is 141022404004314.

It is a happy number.

It is not a de Polignac number, because 413400404220141 - 2³⁵ = 413366044481773 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413400404220099 and 413400404220108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413400404220149) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 24919351 + ... + 38049636.

It is an arithmetic number, because the mean of its divisors is an integer number (12998310378912).

Almost surely, 2^{413400404220141} is an apocalyptic number.

It is an amenable number.

413400404220141 is a deficient number, since it is larger than the sum of its proper divisors (210518493967635).

413400404220141 is a wasteful number, since it uses less digits than its factorization.

413400404220141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62969602 (or 62969589 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 413400404220141 its reverse (141022404004314), we get a palindrome (554422808224455).

The spelling of 413400404220141 in words is "four hundred thirteen trillion, four hundred billion, four hundred four million, two hundred twenty thousand, one hundred forty-one".