431411143412000 has 192 divisors, whose sum is σ = 1064522282503680. Its totient is φ = 171824712192000.

The previous prime is 431411143411999. The next prime is 431411143412017. The reversal of 431411143412000 is 214341114134.

It is a happy number.

It is a super-2 number, since 2×431411143412000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8085041321 + ... + 8085094679.

It is an arithmetic number, because the mean of its divisors is an integer number (5544386888040).

Almost surely, 2^{431411143412000} is an apocalyptic number.

431411143412000 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 431411143412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532261141251840).

431411143412000 is an abundant number, since it is smaller than the sum of its proper divisors (633111139091680).

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

431411143412000 is a wasteful number, since it uses less digits than its factorization.

431411143412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62012 (or 61994 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 431411143412000 its reverse (214341114134), we get a palindrome (431625484526134).

The spelling of 431411143412000 in words is "four hundred thirty-one trillion, four hundred eleven billion, one hundred forty-three million, four hundred twelve thousand".