410431340431000 has 256 divisors, whose sum is σ = 1101301733376000. Its totient is φ = 140246237952000.

The previous prime is 410431340430971. The next prime is 410431340431027. The reversal of 410431340431000 is 134043134014.

It is a happy number.

It is a super-2 number, since 2×410431340431000² (a number of 30 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 410431340431000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26230665177 + ... + 26230680823.

It is an arithmetic number, because the mean of its divisors is an integer number (4301959896000).

Almost surely, 2^{410431340431000} is an apocalyptic number.

410431340431000 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 410431340431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550650866688000).

410431340431000 is an abundant number, since it is smaller than the sum of its proper divisors (690870392945000).

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

410431340431000 is a wasteful number, since it uses less digits than its factorization.

410431340431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28035 (or 28021 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 410431340431000 its reverse (134043134014), we get a palindrome (410565383565014).

The spelling of 410431340431000 in words is "four hundred ten trillion, four hundred thirty-one billion, three hundred forty million, four hundred thirty-one thousand".