410130055440 has 240 divisors, whose sum is σ = 1582915651200. Its totient is φ = 93220098048.

The previous prime is 410130055417. The next prime is 410130055451. The reversal of 410130055440 is 44550031014.

It is a happy number.

410130055440 is a `hidden beast` number, since 4 + 101 + 3 + 0 + 0 + 554 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 674856 + ... + 1129464.

It is an arithmetic number, because the mean of its divisors is an integer number (6595481880).

Almost surely, 2^410130055440 is an apocalyptic number.

410130055440 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 410130055440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791457825600).

410130055440 is an abundant number, since it is smaller than the sum of its proper divisors (1172785595760).

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

410130055440 is a wasteful number, since it uses less digits than its factorization.

410130055440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454814 (or 454805 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 410130055440 its reverse (44550031014), we get a palindrome (454680086454).

The spelling of 410130055440 in words is "four hundred ten billion, one hundred thirty million, fifty-five thousand, four hundred forty".