431111041212228 has 384 divisors, whose sum is σ = 1163927568900096. Its totient is φ = 123023287296000.

The previous prime is 431111041212221. The next prime is 431111041212277. The reversal of 431111041212228 is 822212140111134.

It is not an unprimeable number, because it can be changed into a prime (431111041212221) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39671572851 + ... + 39671583717.

It is an arithmetic number, because the mean of its divisors is an integer number (3031061377344).

Almost surely, 2^{431111041212228} 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 431111041212228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581963784450048).

431111041212228 is an abundant number, since it is smaller than the sum of its proper divisors (732816527687868).

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

431111041212228 is a wasteful number, since it uses less digits than its factorization.

431111041212228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11843 (or 11841 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The spelling of 431111041212228 in words is "four hundred thirty-one trillion, one hundred eleven billion, forty-one million, two hundred twelve thousand, two hundred twenty-eight".