4395638972160 has 432 divisors, whose sum is σ = 15886069774848. Its totient is φ = 1120049356800.

The previous prime is 4395638972093. The next prime is 4395638972161. The reversal of 4395638972160 is 612798365934.

4395638972160 is a `hidden beast` number, since 4 + 3 + 9 + 563 + 8 + 9 + 7 + 2 + 1 + 60 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4395638972161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273165715 + ... + 273181805.

It is an arithmetic number, because the mean of its divisors is an integer number (36773309664).

It is a 1-persistent number, because it is pandigital, but 2⋅4395638972160 = 8791277944320 is not.

Almost surely, 2^{4395638972160} is an apocalyptic number.

4395638972160 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 4395638972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7943034887424).

4395638972160 is an abundant number, since it is smaller than the sum of its proper divisors (11490430802688).

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

4395638972160 is a wasteful number, since it uses less digits than its factorization.

4395638972160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17172 (or 17155 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 4395638972160 in words is "four trillion, three hundred ninety-five billion, six hundred thirty-eight million, nine hundred seventy-two thousand, one hundred sixty".