439834240000 has 165 divisors, whose sum is σ = 1100023924197. Its totient is φ = 175721472000.

The previous prime is 439834239979. The next prime is 439834240009. The reversal of 439834240000 is 42438934.

The square root of 439834240000 is 663200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 308709139456 + 131125100544 = 555616^2 + 362112^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (439834240009) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 530559586 + ... + 530560414.

Almost surely, 2^439834240000 is an apocalyptic number.

439834240000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

439834240000 is the 663200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 439834240000

439834240000 is an abundant number, since it is smaller than the sum of its proper divisors (660189684197).

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

439834240000 is an frugal number, since it uses more digits than its factorization.

439834240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

Adding to 439834240000 its reverse (42438934), we get a palindrome (439876678934).

The spelling of 439834240000 in words is "four hundred thirty-nine billion, eight hundred thirty-four million, two hundred forty thousand".