431321424240 has 320 divisors, whose sum is σ = 1610639769600. Its totient is φ = 93391613952.

The previous prime is 431321424161. The next prime is 431321424277. The reversal of 431321424240 is 42424123134.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 431321424198 and 431321424207.

It is a congruent 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, 2498641 + ... + 2665679.

It is an arithmetic number, because the mean of its divisors is an integer number (5033249280).

Almost surely, 2^431321424240 is an apocalyptic number.

431321424240 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 431321424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805319884800).

431321424240 is an abundant number, since it is smaller than the sum of its proper divisors (1179318345360).

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

431321424240 is a wasteful number, since it uses less digits than its factorization.

431321424240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167144 (or 167138 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 431321424240 its reverse (42424123134), we get a palindrome (473745547374).

The spelling of 431321424240 in words is "four hundred thirty-one billion, three hundred twenty-one million, four hundred twenty-four thousand, two hundred forty".