431320120440 has 256 divisors, whose sum is σ = 1456451020800. Its totient is φ = 101289676800.

The previous prime is 431320120423. The next prime is 431320120501. The reversal of 431320120440 is 44021023134.

It is a super-2 number, since 2×431320120440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 431320120440.

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, 5487820 + ... + 5565860.

It is an arithmetic number, because the mean of its divisors is an integer number (5689261800).

Almost surely, 2^431320120440 is an apocalyptic number.

431320120440 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 431320120440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728225510400).

431320120440 is an abundant number, since it is smaller than the sum of its proper divisors (1025130900360).

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

431320120440 is a wasteful number, since it uses less digits than its factorization.

431320120440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78198 (or 78194 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 431320120440 its reverse (44021023134), we get a palindrome (475341143574).

The spelling of 431320120440 in words is "four hundred thirty-one billion, three hundred twenty million, one hundred twenty thousand, four hundred forty".