4025973923328 has 320 divisors, whose sum is σ = 12482629632000. Its totient is φ = 1129330335744.

The previous prime is 4025973923317. The next prime is 4025973923359. The reversal of 4025973923328 is 8233293795204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152030793 + ... + 152057271.

It is an arithmetic number, because the mean of its divisors is an integer number (39008217600).

Almost surely, 2^{4025973923328} is an apocalyptic number.

4025973923328 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 4025973923328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6241314816000).

4025973923328 is an abundant number, since it is smaller than the sum of its proper divisors (8456655708672).

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

4025973923328 is a wasteful number, since it uses less digits than its factorization.

4025973923328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26765 (or 26749 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 57.

The spelling of 4025973923328 in words is "four trillion, twenty-five billion, nine hundred seventy-three million, nine hundred twenty-three thousand, three hundred twenty-eight".