431465287680 has 1664 divisors, whose sum is σ = 1902304051200. Its totient is φ = 90540343296.

The previous prime is 431465287679. The next prime is 431465287681. The reversal of 431465287680 is 86782564134.

It is a happy number.

431465287680 is a `hidden beast` number, since 4 + 3 + 1 + 46 + 528 + 76 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (431465287679) and next prime (431465287681).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431465287681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5198376919 + ... + 5198377001.

Almost surely, 2^431465287680 is an apocalyptic number.

431465287680 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 431465287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951152025600).

431465287680 is an abundant number, since it is smaller than the sum of its proper divisors (1470838763520).

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

431465287680 is a wasteful number, since it uses less digits than its factorization.

431465287680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 431465287680 in words is "four hundred thirty-one billion, four hundred sixty-five million, two hundred eighty-seven thousand, six hundred eighty".