411334000000 has 448 divisors, whose sum is σ = 1277533647360. Its totient is φ = 128160000000.

The previous prime is 411333999991. The next prime is 411334000027. The reversal of 411334000000 is 433114.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 153998665 + ... + 154001335.

Almost surely, 2^411334000000 is an apocalyptic number.

411334000000 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 411334000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638766823680).

411334000000 is an abundant number, since it is smaller than the sum of its proper divisors (866199647360).

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

411334000000 is an frugal number, since it uses more digits than its factorization.

411334000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 411334000000 its reverse (433114), we get a palindrome (411334433114).

The spelling of 411334000000 in words is "four hundred eleven billion, three hundred thirty-four million", and thus it is an aban number.