431240324173128 has 128 divisors (see below), whose sum is σ = 1201081137868800. Its totient is φ = 143363852771328.

The previous prime is 431240324173093. The next prime is 431240324173187. The reversal of 431240324173128 is 821371423042134.

It is a happy number.

431240324173128 is a `hidden beast` number, since 4 + 3 + 1 + 2 + 4 + 0 + 324 + 1 + 7 + 312 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1683634926 + ... + 1683891042.

It is an arithmetic number, because the mean of its divisors is an integer number (9383446389600).

Almost surely, 2^{431240324173128} 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 431240324173128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600540568934400).

431240324173128 is an abundant number, since it is smaller than the sum of its proper divisors (769840813695672).

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

431240324173128 is a wasteful number, since it uses less digits than its factorization.

431240324173128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276868 (or 276858 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 431240324173128 in words is "four hundred thirty-one trillion, two hundred forty billion, three hundred twenty-four million, one hundred seventy-three thousand, one hundred twenty-eight".