413101252410 has 256 divisors, whose sum is σ = 1277385043968. Its totient is φ = 83010816000.

The previous prime is 413101252393. The next prime is 413101252411. The reversal of 413101252410 is 14252101314.

It is not an unprimeable number, because it can be changed into a prime (413101252411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10011742 + ... + 10052918.

It is an arithmetic number, because the mean of its divisors is an integer number (4989785328).

Almost surely, 2^413101252410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413101252410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638692521984).

413101252410 is an abundant number, since it is smaller than the sum of its proper divisors (864283791558).

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

413101252410 is a wasteful number, since it uses less digits than its factorization.

413101252410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41349.

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 413101252410 its reverse (14252101314), we get a palindrome (427353353724).

The spelling of 413101252410 in words is "four hundred thirteen billion, one hundred one million, two hundred fifty-two thousand, four hundred ten".