439391420160 has 864 divisors, whose sum is σ = 1822602684672. Its totient is φ = 89160744960.

The previous prime is 439391420131. The next prime is 439391420183. The reversal of 439391420160 is 61024193934.

It is a super-2 number, since 2×439391420160² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88997212 + ... + 89002148.

It is an arithmetic number, because the mean of its divisors is an integer number (2109493848).

Almost surely, 2^439391420160 is an apocalyptic number.

439391420160 is a gapful number since it is divisible by the number (40) 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 439391420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911301342336).

439391420160 is an abundant number, since it is smaller than the sum of its proper divisors (1383211264512).

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

439391420160 is a wasteful number, since it uses less digits than its factorization.

439391420160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5029 (or 5008 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 439391420160 in words is "four hundred thirty-nine billion, three hundred ninety-one million, four hundred twenty thousand, one hundred sixty".