439400016072 has 96 divisors (see below), whose sum is σ = 1220648715000. Its totient is φ = 142743720960.

The previous prime is 439400016061. The next prime is 439400016089. The reversal of 439400016072 is 270610004934.

439400016072 is a `hidden beast` number, since 4 + 3 + 9 + 40 + 0 + 0 + 1 + 607 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 248548114116 + 190851901956 = 498546^2 + 436866^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19804 + ... + 937652.

Almost surely, 2^439400016072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 439400016072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610324357500).

439400016072 is an abundant number, since it is smaller than the sum of its proper divisors (781248698928).

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

439400016072 is a wasteful number, since it uses less digits than its factorization.

439400016072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918031 (or 918024 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 439400016072 in words is "four hundred thirty-nine billion, four hundred million, sixteen thousand, seventy-two".