410331041120 has 288 divisors, whose sum is σ = 1324827687456. Its totient is φ = 118056960000.

The previous prime is 410331041059. The next prime is 410331041123. The reversal of 410331041120 is 21140133014.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 410331041092 and 410331041101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410331041123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 938120 + ... + 1304120.

It is an arithmetic number, because the mean of its divisors is an integer number (4600096137).

Almost surely, 2^410331041120 is an apocalyptic number.

410331041120 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 410331041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662413843728).

410331041120 is an abundant number, since it is smaller than the sum of its proper divisors (914496646336).

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

410331041120 is a wasteful number, since it uses less digits than its factorization.

410331041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366054 (or 366039 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 410331041120 its reverse (21140133014), we get a palindrome (431471174134).

The spelling of 410331041120 in words is "four hundred ten billion, three hundred thirty-one million, forty-one thousand, one hundred twenty".