439711146039648 has 2304 divisors, whose sum is σ = 1564139488665600. Its totient is φ = 107166302208000.

The previous prime is 439711146039647. The next prime is 439711146039707. The reversal of 439711146039648 is 846930641117934.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (439711146039647) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 710357263083 + ... + 710357263701.

It is an arithmetic number, because the mean of its divisors is an integer number (678879986400).

Almost surely, 2^{439711146039648} is an apocalyptic number.

439711146039648 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 439711146039648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782069744332800).

439711146039648 is an abundant number, since it is smaller than the sum of its proper divisors (1124428342625952).

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

439711146039648 is a wasteful number, since it uses less digits than its factorization.

439711146039648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 66.

The spelling of 439711146039648 in words is "four hundred thirty-nine trillion, seven hundred eleven billion, one hundred forty-six million, thirty-nine thousand, six hundred forty-eight".