413103242401410 has 128 divisors (see below), whose sum is σ = 1106855570304000. Its totient is φ = 97806372652800.

The previous prime is 413103242401373. The next prime is 413103242401433. The reversal of 413103242401410 is 14104242301314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

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 63 ways as a sum of consecutive naturals, for example, 126250716 + ... + 129481464.

It is an arithmetic number, because the mean of its divisors is an integer number (8647309143000).

Almost surely, 2^{413103242401410} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413103242401410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553427785152000).

413103242401410 is an abundant number, since it is smaller than the sum of its proper divisors (693752327902590).

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

413103242401410 is a wasteful number, since it uses less digits than its factorization.

413103242401410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3239824.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 413103242401410 its reverse (14104242301314), we get a palindrome (427207484702724).

It can be divided in two parts, 41310324 and 2401410, that added together give a palindrome (43711734).

The spelling of 413103242401410 in words is "four hundred thirteen trillion, one hundred three billion, two hundred forty-two million, four hundred one thousand, four hundred ten".