410424134212224 has 640 divisors, whose sum is σ = 1405628375659200. Its totient is φ = 117569238220800.

The previous prime is 410424134212207. The next prime is 410424134212271. The reversal of 410424134212224 is 422212431424014.

410424134212224 is a `hidden beast` number, since 4 + 1 + 0 + 4 + 2 + 4 + 1 + 3 + 421 + 2 + 224 = 666.

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 79 ways as a sum of consecutive naturals, for example, 998741004 + ... + 999151860.

Almost surely, 2^{410424134212224} is an apocalyptic number.

410424134212224 is a gapful number since it is divisible by the number (44) 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 410424134212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702814187829600).

410424134212224 is an abundant number, since it is smaller than the sum of its proper divisors (995204241446976).

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

410424134212224 is a wasteful number, since it uses less digits than its factorization.

410424134212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411374 (or 411353 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 410424134212224 its reverse (422212431424014), we get a palindrome (832636565636238).

The spelling of 410424134212224 in words is "four hundred ten trillion, four hundred twenty-four billion, one hundred thirty-four million, two hundred twelve thousand, two hundred twenty-four".