431352525040000 has 160 divisors (see below), whose sum is σ = 1073964497320440. Its totient is φ = 172518620160000.

The previous prime is 431352525039979. The next prime is 431352525040007. The reversal of 431352525040000 is 40525253134.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431352525040007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 623094055 + ... + 623785945.

Almost surely, 2^{431352525040000} is an apocalyptic number.

431352525040000 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 431352525040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536982248660220).

431352525040000 is an abundant number, since it is smaller than the sum of its proper divisors (642611972280440).

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

431352525040000 is an frugal number, since it uses more digits than its factorization.

431352525040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699718 (or 699691 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

The spelling of 431352525040000 in words is "four hundred thirty-one trillion, three hundred fifty-two billion, five hundred twenty-five million, forty thousand".