4047792000 has 384 divisors, whose sum is σ = 15618264480. Its totient is φ = 924672000.

The previous prime is 4047791989. The next prime is 4047792013. The reversal of 4047792000 is 2977404.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2351140 + ... + 2352860.

Almost surely, 2^4047792000 is an apocalyptic number.

4047792000 is a gapful number since it is divisible by the number (40) 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 4047792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7809132240).

4047792000 is an abundant number, since it is smaller than the sum of its proper divisors (11570472480).

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

4047792000 is a wasteful number, since it uses less digits than its factorization.

4047792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 4047792000 is about 63622.2602553540. The cubic root of 4047792000 is about 1593.6981282618.

The spelling of 4047792000 in words is "four billion, forty-seven million, seven hundred ninety-two thousand".