431344343400 has 384 divisors, whose sum is σ = 1394655736320. Its totient is φ = 110203591680.

The previous prime is 431344343351. The next prime is 431344343413. The reversal of 431344343400 is 4343443134.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 336199159 + ... + 336200441.

It is an arithmetic number, because the mean of its divisors is an integer number (3631915980).

Almost surely, 2^431344343400 is an apocalyptic number.

431344343400 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 431344343400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697327868160).

431344343400 is an abundant number, since it is smaller than the sum of its proper divisors (963311392920).

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

431344343400 is a wasteful number, since it uses less digits than its factorization.

431344343400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 431344343400 its reverse (4343443134), we get a palindrome (435687786534).

The spelling of 431344343400 in words is "four hundred thirty-one billion, three hundred forty-four million, three hundred forty-three thousand, four hundred".