431461511820 has 288 divisors, whose sum is σ = 1345395018240. Its totient is φ = 111886064640.

The previous prime is 431461511813. The next prime is 431461511839. The reversal of 431461511820 is 28115164134.

431461511820 is a `hidden beast` number, since 4 + 3 + 1 + 4 + 61 + 511 + 82 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 486427417 + ... + 486428303.

It is an arithmetic number, because the mean of its divisors is an integer number (4671510480).

Almost surely, 2^431461511820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431461511820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672697509120).

431461511820 is an abundant number, since it is smaller than the sum of its proper divisors (913933506420).

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

431461511820 is a wasteful number, since it uses less digits than its factorization.

431461511820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 431461511820 its reverse (28115164134), we get a palindrome (459576675954).

It can be divided in two parts, 43146 and 1511820, that added together give a triangular number (1554966 = T₁₇₆₃).

The spelling of 431461511820 in words is "four hundred thirty-one billion, four hundred sixty-one million, five hundred eleven thousand, eight hundred twenty".