431234242080 has 192 divisors, whose sum is σ = 1391773114368. Its totient is φ = 112185359360.

The previous prime is 431234242037. The next prime is 431234242081. The reversal of 431234242080 is 80242432134.

It is not an unprimeable number, because it can be changed into a prime (431234242081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6985429 + ... + 7046891.

It is an arithmetic number, because the mean of its divisors is an integer number (7248818304).

Almost surely, 2^431234242080 is an apocalyptic number.

431234242080 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 431234242080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695886557184).

431234242080 is an abundant number, since it is smaller than the sum of its proper divisors (960538872288).

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

431234242080 is a wasteful number, since it uses less digits than its factorization.

431234242080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61839 (or 61831 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The spelling of 431234242080 in words is "four hundred thirty-one billion, two hundred thirty-four million, two hundred forty-two thousand, eighty".