431124263025640 has 256 divisors, whose sum is σ = 1059619063910400. Its totient is φ = 157325446941696.

The previous prime is 431124263025623. The next prime is 431124263025649. The reversal of 431124263025640 is 46520362421134.

It is not an unprimeable number, because it can be changed into a prime (431124263025649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2041328127 + ... + 2041539313.

It is an arithmetic number, because the mean of its divisors is an integer number (4139136968400).

Almost surely, 2^{431124263025640} is an apocalyptic number.

431124263025640 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 431124263025640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529809531955200).

431124263025640 is an abundant number, since it is smaller than the sum of its proper divisors (628494800884760).

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

431124263025640 is a wasteful number, since it uses less digits than its factorization.

431124263025640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212184 (or 212180 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 43.

The spelling of 431124263025640 in words is "four hundred thirty-one trillion, one hundred twenty-four billion, two hundred sixty-three million, twenty-five thousand, six hundred forty".