411034421312100 has 864 divisors, whose sum is σ = 1450846260208800. Its totient is φ = 96822912614400.

The previous prime is 411034421312029. The next prime is 411034421312153. The reversal of 411034421312100 is 1213124430114.

It is a happy number.

411034421312100 is a `hidden beast` number, since 4 + 1 + 1 + 0 + 3 + 442 + 1 + 3 + 1 + 210 + 0 = 666.

It can be written as a sum of positive squares in 48 ways, for example, as 355676892922404 + 55357528389696 = 18859398^2 + 7440264^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5039060116 + ... + 5039141684.

It is an arithmetic number, because the mean of its divisors is an integer number (1679220208575).

Almost surely, 2^{411034421312100} 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 411034421312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725423130104400).

411034421312100 is an abundant number, since it is smaller than the sum of its proper divisors (1039811838896700).

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

411034421312100 is a wasteful number, since it uses less digits than its factorization.

411034421312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81953 (or 81943 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 411034421312100 its reverse (1213124430114), we get a palindrome (412247545742214).

The spelling of 411034421312100 in words is "four hundred eleven trillion, thirty-four billion, four hundred twenty-one million, three hundred twelve thousand, one hundred".