410431224960 has 320 divisors, whose sum is σ = 1490577897600. Its totient is φ = 107592468480.

The previous prime is 410431224949. The next prime is 410431224991. The reversal of 410431224960 is 69422134014.

410431224960 is a `hidden beast` number, since 4 + 1 + 0 + 43 + 122 + 496 + 0 = 666.

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

It is a super-2 number, since 2×410431224960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2991465 + ... + 3125655.

It is an arithmetic number, because the mean of its divisors is an integer number (4658055930).

Almost surely, 2^410431224960 is an apocalyptic number.

410431224960 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 410431224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745288948800).

410431224960 is an abundant number, since it is smaller than the sum of its proper divisors (1080146672640).

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

410431224960 is a wasteful number, since it uses less digits than its factorization.

410431224960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134281 (or 134260 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 410431224960 its reverse (69422134014), we get a palindrome (479853358974).

The spelling of 410431224960 in words is "four hundred ten billion, four hundred thirty-one million, two hundred twenty-four thousand, nine hundred sixty".