412431203340 has 288 divisors, whose sum is σ = 1428094886400. Its totient is φ = 95444656128.

The previous prime is 412431203333. The next prime is 412431203347. The reversal of 412431203340 is 43302134214.

412431203340 is a `hidden beast` number, since 4 + 1 + 2 + 4 + 312 + 0 + 3 + 340 = 666.

It is an interprime number because it is at equal distance from previous prime (412431203333) and next prime (412431203347).

It is not an unprimeable number, because it can be changed into a prime (412431203347) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39655461 + ... + 39665859.

It is an arithmetic number, because the mean of its divisors is an integer number (4958662800).

Almost surely, 2^412431203340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412431203340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714047443200).

412431203340 is an abundant number, since it is smaller than the sum of its proper divisors (1015663683060).

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

412431203340 is a wasteful number, since it uses less digits than its factorization.

412431203340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11441 (or 11436 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 412431203340 its reverse (43302134214), we get a palindrome (455733337554).

The spelling of 412431203340 in words is "four hundred twelve billion, four hundred thirty-one million, two hundred three thousand, three hundred forty".