431439201312 has 192 divisors, whose sum is σ = 1372736139264. Its totient is φ = 115975664640.

The previous prime is 431439201307. The next prime is 431439201313. The reversal of 431439201312 is 213102934134.

It is a super-2 number, since 2×431439201312² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (431439201313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 714013 + ... + 1171619.

It is an arithmetic number, because the mean of its divisors is an integer number (7149667392).

Almost surely, 2^431439201312 is an apocalyptic number.

431439201312 is a gapful number since it is divisible by the number (42) 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 431439201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686368069632).

431439201312 is an abundant number, since it is smaller than the sum of its proper divisors (941296937952).

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

431439201312 is a wasteful number, since it uses less digits than its factorization.

431439201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457711 (or 457703 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 431439201312 in words is "four hundred thirty-one billion, four hundred thirty-nine million, two hundred one thousand, three hundred twelve".