4738023957128 has 192 divisors, whose sum is σ = 11951886804480. Its totient is φ = 1738151654400.

The previous prime is 4738023957119. The next prime is 4738023957167. The reversal of 4738023957128 is 8217593208374.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4466876 + ... + 5424852.

It is an arithmetic number, because the mean of its divisors is an integer number (62249410440).

Almost surely, 2^{4738023957128} 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 4738023957128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5975943402240).

4738023957128 is an abundant number, since it is smaller than the sum of its proper divisors (7213862847352).

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

4738023957128 is a wasteful number, since it uses less digits than its factorization.

4738023957128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958076 (or 958065 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 59.

The spelling of 4738023957128 in words is "four trillion, seven hundred thirty-eight billion, twenty-three million, nine hundred fifty-seven thousand, one hundred twenty-eight".