431443240000 has 280 divisors, whose sum is σ = 1095513273536. Its totient is φ = 168480000000.

The previous prime is 431443239979. The next prime is 431443240087. The reversal of 431443240000 is 42344134.

It is a super-2 number, since 2×431443240000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 368439415 + ... + 368440585.

Almost surely, 2^431443240000 is an apocalyptic number.

431443240000 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 431443240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547756636768).

431443240000 is an abundant number, since it is smaller than the sum of its proper divisors (664070033536).

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

431443240000 is a wasteful number, since it uses less digits than its factorization.

431443240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 431443240000 its reverse (42344134), we get a palindrome (431485584134).

The spelling of 431443240000 in words is "four hundred thirty-one billion, four hundred forty-three million, two hundred forty thousand".