431414302240 has 48 divisors (see below), whose sum is σ = 1019548047168. Its totient is φ = 172509550336.

The previous prime is 431414302171. The next prime is 431414302273. The reversal of 431414302240 is 42203414134.

It is a super-2 number, since 2×431414302240² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 431414302199 and 431414302208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55989 + ... + 930571.

It is an arithmetic number, because the mean of its divisors is an integer number (21240584316).

Almost surely, 2^431414302240 is an apocalyptic number.

431414302240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431414302240 is an abundant number, since it is smaller than the sum of its proper divisors (588133744928).

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

431414302240 is a wasteful number, since it uses less digits than its factorization.

431414302240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877681 (or 877673 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 431414302240 its reverse (42203414134), we get a palindrome (473617716374).

The spelling of 431414302240 in words is "four hundred thirty-one billion, four hundred fourteen million, three hundred two thousand, two hundred forty".