411442340100 has 288 divisors, whose sum is σ = 1350922285440. Its totient is φ = 95768064000.

The previous prime is 411442340051. The next prime is 411442340119. The reversal of 411442340100 is 1043244114.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17309824 + ... + 17333576.

It is an arithmetic number, because the mean of its divisors is an integer number (4690702380).

Almost surely, 2^411442340100 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 411442340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675461142720).

411442340100 is an abundant number, since it is smaller than the sum of its proper divisors (939479945340).

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

411442340100 is a wasteful number, since it uses less digits than its factorization.

411442340100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23991 (or 23984 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 411442340100 its reverse (1043244114), we get a palindrome (412485584214).

The spelling of 411442340100 in words is "four hundred eleven billion, four hundred forty-two million, three hundred forty thousand, one hundred".