411314101320 has 128 divisors (see below), whose sum is σ = 1267102650240. Its totient is φ = 106773258240.

The previous prime is 411314101273. The next prime is 411314101339. The reversal of 411314101320 is 23101413114.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 420399 + ... + 999681.

It is an arithmetic number, because the mean of its divisors is an integer number (9899239455).

Almost surely, 2^411314101320 is an apocalyptic number.

411314101320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411314101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633551325120).

411314101320 is an abundant number, since it is smaller than the sum of its proper divisors (855788548920).

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

411314101320 is a wasteful number, since it uses less digits than its factorization.

411314101320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579455 (or 579451 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 411314101320 its reverse (23101413114), we get a palindrome (434415514434).

The spelling of 411314101320 in words is "four hundred eleven billion, three hundred fourteen million, one hundred one thousand, three hundred twenty".