413401413314310 has 32 divisors (see below), whose sum is σ = 992164110289632. Its totient is φ = 110240297068800.

The previous prime is 413401413314299. The next prime is 413401413314347. The reversal of 413401413314310 is 13413314104314.

It is a super-3 number, since 3×413401413314310³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45522642 + ... + 53843418.

It is an arithmetic number, because the mean of its divisors is an integer number (31005128446551).

Almost surely, 2^{413401413314310} is an apocalyptic number.

413401413314310 is an abundant number, since it is smaller than the sum of its proper divisors (578762696975322).

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

413401413314310 is a wasteful number, since it uses less digits than its factorization.

413401413314310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9976888.

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 413401413314310 its reverse (13413314104314), we get a palindrome (426814727418624).

The spelling of 413401413314310 in words is "four hundred thirteen trillion, four hundred one billion, four hundred thirteen million, three hundred fourteen thousand, three hundred ten".