413240011331504 has 80 divisors (see below), whose sum is σ = 925434292253760. Its totient is φ = 175089932328960.

The previous prime is 413240011331467. The next prime is 413240011331527. The reversal of 413240011331504 is 405133110042314.

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, 73246232 + ... + 78686024.

It is an arithmetic number, because the mean of its divisors is an integer number (11567928653172).

Almost surely, 2^{413240011331504} 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 413240011331504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462717146126880).

413240011331504 is an abundant number, since it is smaller than the sum of its proper divisors (512194280922256).

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

413240011331504 is a wasteful number, since it uses less digits than its factorization.

413240011331504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5447518 (or 5447512 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Adding to 413240011331504 its reverse (405133110042314), we get a palindrome (818373121373818).

The spelling of 413240011331504 in words is "four hundred thirteen trillion, two hundred forty billion, eleven million, three hundred thirty-one thousand, five hundred four".