411104213000 has 128 divisors (see below), whose sum is σ = 1036457341920. Its totient is φ = 151722777600.

The previous prime is 411104212957. The next prime is 411104213027. The reversal of 411104213000 is 312401114.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 206190462724 + 204913750276 = 454082^2 + 452674^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 411104213000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34795094 + ... + 34806906.

Almost surely, 2^411104213000 is an apocalyptic number.

411104213000 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 411104213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518228670960).

411104213000 is an abundant number, since it is smaller than the sum of its proper divisors (625353128920).

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

411104213000 is a wasteful number, since it uses less digits than its factorization.

411104213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14524 (or 14510 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 411104213000 its reverse (312401114), we get a palindrome (411416614114).

The spelling of 411104213000 in words is "four hundred eleven billion, one hundred four million, two hundred thirteen thousand".