413103021114144 has 192 divisors, whose sum is σ = 1109854803197952. Its totient is φ = 134481009715200.

The previous prime is 413103021114127. The next prime is 413103021114167. The reversal of 413103021114144 is 441411120301314.

It is an unprimeable number.

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, 4014126049 + ... + 4014228959.

It is an arithmetic number, because the mean of its divisors is an integer number (5780493766656).

Almost surely, 2^{413103021114144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413103021114144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554927401598976).

413103021114144 is an abundant number, since it is smaller than the sum of its proper divisors (696751782083808).

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

413103021114144 is a wasteful number, since it uses less digits than its factorization.

413103021114144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104879 (or 104871 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 413103021114144 its reverse (441411120301314), we get a palindrome (854514141415458).

The spelling of 413103021114144 in words is "four hundred thirteen trillion, one hundred three billion, twenty-one million, one hundred fourteen thousand, one hundred forty-four".