431144560000 has 320 divisors, whose sum is σ = 1338168648960. Its totient is φ = 134380800000.

The previous prime is 431144559953. The next prime is 431144560001. The reversal of 431144560000 is 65441134.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431144560001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 6125005 + ... + 6194995.

It is an arithmetic number, because the mean of its divisors is an integer number (4181777028).

Almost surely, 2^431144560000 is an apocalyptic number.

431144560000 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 431144560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669084324480).

431144560000 is an abundant number, since it is smaller than the sum of its proper divisors (907024088960).

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

431144560000 is an equidigital number, since it uses as much as digits as its factorization.

431144560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70043 (or 70016 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 431144560000 in words is "four hundred thirty-one billion, one hundred forty-four million, five hundred sixty thousand".