4147994880 has 288 divisors, whose sum is σ = 15496790400. Its totient is φ = 1047748608.

The previous prime is 4147994839. The next prime is 4147994881. The reversal of 4147994880 is 884997414.

4147994880 is a `hidden beast` number, since 4 + 1 + 479 + 94 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4147994881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 653482 + ... + 659798.

It is an arithmetic number, because the mean of its divisors is an integer number (53808300).

Almost surely, 2^4147994880 is an apocalyptic number.

4147994880 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 4147994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7748395200).

4147994880 is an abundant number, since it is smaller than the sum of its proper divisors (11348795520).

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

4147994880 is a wasteful number, since it uses less digits than its factorization.

4147994880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6366 (or 6346 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 4147994880 is about 64404.9290039202. The cubic root of 4147994880 is about 1606.7417200256.

The spelling of 4147994880 in words is "four billion, one hundred forty-seven million, nine hundred ninety-four thousand, eight hundred eighty".