4047496128 has 560 divisors, whose sum is σ = 14199108000. Its totient is φ = 1128701952.

The previous prime is 4047496087. The next prime is 4047496129. The reversal of 4047496128 is 8216947404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4047496129) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37132938 + ... + 37133046.

It is an arithmetic number, because the mean of its divisors is an integer number (25355550).

Almost surely, 2^4047496128 is an apocalyptic number.

4047496128 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 4047496128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7099554000).

4047496128 is an abundant number, since it is smaller than the sum of its proper divisors (10151611872).

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

4047496128 is a wasteful number, since it uses less digits than its factorization.

4047496128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4047496128 is about 63619.9349889640. The cubic root of 4047496128 is about 1593.6592970387.

The spelling of 4047496128 in words is "four billion, forty-seven million, four hundred ninety-six thousand, one hundred twenty-eight".