4089315821952 has 128 divisors (see below), whose sum is σ = 11094980313600. Its totient is φ = 1333907793920.

The previous prime is 4089315821951. The next prime is 4089315821957. The reversal of 4089315821952 is 2591285139804.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4089315821952² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4089315821892 and 4089315821901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4089315821951) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 173772427 + ... + 173795957.

It is an arithmetic number, because the mean of its divisors is an integer number (86679533700).

Almost surely, 2^{4089315821952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4089315821952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5547490156800).

4089315821952 is an abundant number, since it is smaller than the sum of its proper divisors (7005664491648).

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

4089315821952 is a wasteful number, since it uses less digits than its factorization.

4089315821952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33224 (or 33212 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 57.

The spelling of 4089315821952 in words is "four trillion, eighty-nine billion, three hundred fifteen million, eight hundred twenty-one thousand, nine hundred fifty-two".