4394056009728 has 384 divisors, whose sum is σ = 14716940958720. Its totient is φ = 1132584960000.

The previous prime is 4394056009727. The next prime is 4394056009807. The reversal of 4394056009728 is 8279006504934.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (4394056009727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61939078 + ... + 62009978.

It is an arithmetic number, because the mean of its divisors is an integer number (38325367080).

Almost surely, 2^{4394056009728} is an apocalyptic number.

4394056009728 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 4394056009728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7358470479360).

4394056009728 is an abundant number, since it is smaller than the sum of its proper divisors (10322884948992).

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

4394056009728 is a wasteful number, since it uses less digits than its factorization.

4394056009728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71075 (or 71055 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 4394056009728 in words is "four trillion, three hundred ninety-four billion, fifty-six million, nine thousand, seven hundred twenty-eight".