4097323952128 has 192 divisors, whose sum is σ = 9258093936000. Its totient is φ = 1795773235200.

The previous prime is 4097323952123. The next prime is 4097323952147. The reversal of 4097323952128 is 8212593237904.

4097323952128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4097323952123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 536365333 + ... + 536372971.

It is an arithmetic number, because the mean of its divisors is an integer number (48219239250).

Almost surely, 2^{4097323952128} 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 4097323952128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4629046968000).

4097323952128 is an abundant number, since it is smaller than the sum of its proper divisors (5160769983872).

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

4097323952128 is a wasteful number, since it uses less digits than its factorization.

4097323952128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8522 (or 8502 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 4097323952128 in words is "four trillion, ninety-seven billion, three hundred twenty-three million, nine hundred fifty-two thousand, one hundred twenty-eight".