4912896000 has 192 divisors, whose sum is σ = 16348681440. Its totient is φ = 1309900800.

The previous prime is 4912895989. The next prime is 4912896007. The reversal of 4912896000 is 6982194.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 4912896000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4912896007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 764802 + ... + 771198.

Almost surely, 2^4912896000 is an apocalyptic number.

4912896000 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 4912896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8174340720).

4912896000 is an abundant number, since it is smaller than the sum of its proper divisors (11435785440).

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

4912896000 is an equidigital number, since it uses as much as digits as its factorization.

4912896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6437 (or 6407 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 4912896000 is about 70092.0537578975. The cubic root of 4912896000 is about 1699.9880045290.

The spelling of 4912896000 in words is "four billion, nine hundred twelve million, eight hundred ninety-six thousand".