439970385168 has 240 divisors, whose sum is σ = 1290795620400. Its totient is φ = 139717509120.

The previous prime is 439970385143. The next prime is 439970385193. The reversal of 439970385168 is 861583079934.

439970385168 is a `hidden beast` number, since 4 + 3 + 9 + 97 + 0 + 385 + 168 = 666.

It is an interprime number because it is at equal distance from previous prime (439970385143) and next prime (439970385193).

It can be written as a sum of positive squares in 8 ways, for example, as 72021383424 + 367949001744 = 268368^2 + 606588^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116980408 + ... + 116984168.

It is an arithmetic number, because the mean of its divisors is an integer number (5378315085).

Almost surely, 2^439970385168 is an apocalyptic number.

439970385168 is a gapful number since it is divisible by the number (48) 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 439970385168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645397810200).

439970385168 is an abundant number, since it is smaller than the sum of its proper divisors (850825235232).

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

439970385168 is a wasteful number, since it uses less digits than its factorization.

439970385168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4170 (or 4161 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 439970385168 in words is "four hundred thirty-nine billion, nine hundred seventy million, three hundred eighty-five thousand, one hundred sixty-eight".