431201011400412 has 384 divisors, whose sum is σ = 1132781303808000. Its totient is φ = 126537740421120.

The previous prime is 431201011400359. The next prime is 431201011400461. The reversal of 431201011400412 is 214004110102134.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 513946377889 + ... + 513946378727.

It is an arithmetic number, because the mean of its divisors is an integer number (2949951312000).

Almost surely, 2^{431201011400412} 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 431201011400412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566390651904000).

431201011400412 is an abundant number, since it is smaller than the sum of its proper divisors (701580292407588).

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

431201011400412 is a wasteful number, since it uses less digits than its factorization.

431201011400412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2401 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 431201011400412 its reverse (214004110102134), we get a palindrome (645205121502546).

The spelling of 431201011400412 in words is "four hundred thirty-one trillion, two hundred one billion, eleven million, four hundred thousand, four hundred twelve".