4047712128 has 256 divisors, whose sum is σ = 12296793600. Its totient is φ = 1310404608.

The previous prime is 4047712111. The next prime is 4047712147. The reversal of 4047712128 is 8212177404.

4047712128 is a `hidden beast` number, since 40 + 477 + 121 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4047712092 and 4047712101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29545276 + ... + 29545412.

It is an arithmetic number, because the mean of its divisors is an integer number (48034350).

Almost surely, 2^4047712128 is an apocalyptic number.

4047712128 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 4047712128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6148396800).

4047712128 is an abundant number, since it is smaller than the sum of its proper divisors (8249081472).

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

4047712128 is a wasteful number, since it uses less digits than its factorization.

4047712128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 4047712128 is about 63621.6325474284. The cubic root of 4047712128 is about 1593.6876457819.

The spelling of 4047712128 in words is "four billion, forty-seven million, seven hundred twelve thousand, one hundred twenty-eight".