439871379984 has 405 divisors, whose sum is σ = 1351489850893. Its totient is φ = 138673016064.

The previous prime is 439871379973. The next prime is 439871379989. The reversal of 439871379984 is 489973178934.

The square root of 439871379984 is 663228.

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

439871379984 is a `hidden beast` number, since 4 + 398 + 71 + 3 + 7 + 99 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 84464634384 + 355406745600 = 290628^2 + 596160^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

Its product of digits (329204736) is a multiple of the sum of its prime factors (256).

It is not an unprimeable number, because it can be changed into a prime (439871379989) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4942375012 + ... + 4942375100.

Almost surely, 2^439871379984 is an apocalyptic number.

439871379984 is the 663228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 439871379984

439871379984 is an abundant number, since it is smaller than the sum of its proper divisors (911618470909).

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

439871379984 is an frugal number, since it uses more digits than its factorization.

439871379984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 117 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 72.

The spelling of 439871379984 in words is "four hundred thirty-nine billion, eight hundred seventy-one million, three hundred seventy-nine thousand, nine hundred eighty-four".