410124413440 has 320 divisors, whose sum is σ = 1163953359360. Its totient is φ = 135680163840.

The previous prime is 410124413429. The next prime is 410124413441. The reversal of 410124413440 is 44314421014.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 410124413399 and 410124413408.

It is not an unprimeable number, because it can be changed into a prime (410124413441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57931821 + ... + 57938899.

It is an arithmetic number, because the mean of its divisors is an integer number (3637354248).

Almost surely, 2^410124413440 is an apocalyptic number.

410124413440 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 410124413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581976679680).

410124413440 is an abundant number, since it is smaller than the sum of its proper divisors (753828945920).

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

410124413440 is an equidigital number, since it uses as much as digits as its factorization.

410124413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7223 (or 7207 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 410124413440 its reverse (44314421014), we get a palindrome (454438834454).

The spelling of 410124413440 in words is "four hundred ten billion, one hundred twenty-four million, four hundred thirteen thousand, four hundred forty".