431303742240 has 384 divisors, whose sum is σ = 1636838461440. Its totient is φ = 93256593408.

The previous prime is 431303742209. The next prime is 431303742251. The reversal of 431303742240 is 42247303134.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46407034 + ... + 46416326.

It is an arithmetic number, because the mean of its divisors is an integer number (4262600160).

Almost surely, 2^431303742240 is an apocalyptic number.

431303742240 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 431303742240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818419230720).

431303742240 is an abundant number, since it is smaller than the sum of its proper divisors (1205534719200).

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

431303742240 is a wasteful number, since it uses less digits than its factorization.

431303742240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10064 (or 10056 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 33.

The spelling of 431303742240 in words is "four hundred thirty-one billion, three hundred three million, seven hundred forty-two thousand, two hundred forty".