412412401010430 has 384 divisors, whose sum is σ = 1140315770880000. Its totient is φ = 103273359823872.

The previous prime is 412412401010399. The next prime is 412412401010431. The reversal of 412412401010430 is 34010104214214.

412412401010430 is a `hidden beast` number, since 4 + 1 + 2 + 4 + 124 + 0 + 101 + 0 + 430 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 412412401010394 and 412412401010403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412412401010431) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5727993571 + ... + 5728065569.

It is an arithmetic number, because the mean of its divisors is an integer number (2969572320000).

Almost surely, 2^{412412401010430} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412412401010430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570157885440000).

412412401010430 is an abundant number, since it is smaller than the sum of its proper divisors (727903369869570).

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

412412401010430 is a wasteful number, since it uses less digits than its factorization.

412412401010430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72568 (or 72565 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 412412401010430 its reverse (34010104214214), we get a palindrome (446422505224644).

The spelling of 412412401010430 in words is "four hundred twelve trillion, four hundred twelve billion, four hundred one million, ten thousand, four hundred thirty".