4338052060320 has 1152 divisors, whose sum is σ = 17839055969280. Its totient is φ = 955448524800.

The previous prime is 4338052060171. The next prime is 4338052060327. The reversal of 4338052060320 is 230602508334.

It is a happy number.

4338052060320 is a `hidden beast` number, since 4 + 3 + 3 + 8 + 0 + 5 + 20 + 603 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4338052060327) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 944901225 + ... + 944905815.

It is an arithmetic number, because the mean of its divisors is an integer number (15485291640).

Almost surely, 2^{4338052060320} is an apocalyptic number.

4338052060320 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 4338052060320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8919527984640).

4338052060320 is an abundant number, since it is smaller than the sum of its proper divisors (13501003908960).

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

4338052060320 is a wasteful number, since it uses less digits than its factorization.

4338052060320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4691 (or 4658 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 4338052060320 its reverse (230602508334), we get a palindrome (4568654568654).

The spelling of 4338052060320 in words is "four trillion, three hundred thirty-eight billion, fifty-two million, sixty thousand, three hundred twenty".