439978764091968 has 280 divisors, whose sum is σ = 1372982563656000. Its totient is φ = 138930164278272.

The previous prime is 439978764091967. The next prime is 439978764092011. The reversal of 439978764091968 is 869190467879934.

439978764091968 is a `hidden beast` number, since 4 + 3 + 9 + 9 + 7 + 8 + 7 + 6 + 409 + 196 + 8 = 666.

It is a super-2 number, since 2×439978764091968² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (439978764091967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1358984446 + ... + 1359308162.

Almost surely, 2^{439978764091968} is an apocalyptic number.

439978764091968 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 439978764091968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686491281828000).

439978764091968 is an abundant number, since it is smaller than the sum of its proper divisors (933003799564032).

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

439978764091968 is a wasteful number, since it uses less digits than its factorization.

439978764091968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337559 (or 337540 counting only the distinct ones).

The product of its (nonzero) digits is 35554111488, while the sum is 90.

The spelling of 439978764091968 in words is "four hundred thirty-nine trillion, nine hundred seventy-eight billion, seven hundred sixty-four million, ninety-one thousand, nine hundred sixty-eight".