411342400000000 has 936 divisors, whose sum is σ = 1237608272594240. Its totient is φ = 133539840000000.

The previous prime is 411342399999913. The next prime is 411342400000027. The reversal of 411342400000000 is 4243114.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 212799999034 + ... + 212800000966.

Almost surely, 2^{411342400000000} is an apocalyptic number.

411342400000000 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 411342400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618804136297120).

411342400000000 is an abundant number, since it is smaller than the sum of its proper divisors (826265872594240).

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

411342400000000 is an frugal number, since it uses more digits than its factorization.

411342400000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 411342400000000 its reverse (4243114), we get a palindrome (411342404243114).

The spelling of 411342400000000 in words is "four hundred eleven trillion, three hundred forty-two billion, four hundred million", and thus it is an aban number.