431324411311040 has 448 divisors, whose sum is σ = 1162901276651520. Its totient is φ = 151318355558400.

The previous prime is 431324411311037. The next prime is 431324411311051. The reversal of 431324411311040 is 40113114423134.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 431324411310988 and 431324411311006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1371116009 + ... + 1371430551.

It is an arithmetic number, because the mean of its divisors is an integer number (2595761778240).

Almost surely, 2^{431324411311040} is an apocalyptic number.

431324411311040 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 431324411311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581450638325760).

431324411311040 is an abundant number, since it is smaller than the sum of its proper divisors (731576865340480).

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

431324411311040 is a wasteful number, since it uses less digits than its factorization.

431324411311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314820 (or 314810 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 431324411311040 its reverse (40113114423134), we get a palindrome (471437525734174).

The spelling of 431324411311040 in words is "four hundred thirty-one trillion, three hundred twenty-four billion, four hundred eleven million, three hundred eleven thousand, forty".