431389200000 has 576 divisors, whose sum is σ = 1574827017120. Its totient is φ = 104544000000.

The previous prime is 431389199977. The next prime is 431389200001. The reversal of 431389200000 is 2983134.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (431389200001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 145198515 + ... + 145201485.

Almost surely, 2^431389200000 is an apocalyptic number.

431389200000 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 431389200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787413508560).

431389200000 is an abundant number, since it is smaller than the sum of its proper divisors (1143437817120).

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

431389200000 is an equidigital number, since it uses as much as digits as its factorization.

431389200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3035 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 431389200000 in words is "four hundred thirty-one billion, three hundred eighty-nine million, two hundred thousand".