431424322131200 has 216 divisors, whose sum is σ = 1075474008362208. Its totient is φ = 171338578698240.

The previous prime is 431424322131133. The next prime is 431424322131217. The reversal of 431424322131200 is 2131223424134.

It is a happy number.

It is a super-2 number, since 2×431424322131200² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1039862999 + ... + 1040277801.

Almost surely, 2^{431424322131200} is an apocalyptic number.

431424322131200 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 431424322131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537737004181104).

431424322131200 is an abundant number, since it is smaller than the sum of its proper divisors (644049686231008).

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

431424322131200 is a wasteful number, since it uses less digits than its factorization.

431424322131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415989 (or 415970 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 431424322131200 its reverse (2131223424134), we get a palindrome (433555545555334).

The spelling of 431424322131200 in words is "four hundred thirty-one trillion, four hundred twenty-four billion, three hundred twenty-two million, one hundred thirty-one thousand, two hundred".