411404224443100 has 144 divisors (see below), whose sum is σ = 1022466353965056. Its totient is φ = 140751150624000.

The previous prime is 411404224443089. The next prime is 411404224443119. The reversal of 411404224443100 is 1344422404114.

It is a super-2 number, since 2×411404224443100² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1035424074 + ... + 1035821326.

It is an arithmetic number, because the mean of its divisors is an integer number (7100460791424).

Almost surely, 2^{411404224443100} 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 411404224443100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511233176982528).

411404224443100 is an abundant number, since it is smaller than the sum of its proper divisors (611062129521956).

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

411404224443100 is a wasteful number, since it uses less digits than its factorization.

411404224443100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400436 (or 400429 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

Adding to 411404224443100 its reverse (1344422404114), we get a palindrome (412748646847214).

The spelling of 411404224443100 in words is "four hundred eleven trillion, four hundred four billion, two hundred twenty-four million, four hundred forty-three thousand, one hundred".