4847921894400 has 1584 divisors, whose sum is σ = 18440839752384. Its totient is φ = 1116206530560.

The previous prime is 4847921894399. The next prime is 4847921894441. The reversal of 4847921894400 is 44981297484.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 35386291132 + ... + 35386291268.

Almost surely, 2^{4847921894400} is an apocalyptic number.

4847921894400 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 4847921894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9220419876192).

4847921894400 is an abundant number, since it is smaller than the sum of its proper divisors (13592917857984).

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

4847921894400 is a wasteful number, since it uses less digits than its factorization.

4847921894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 60.

The spelling of 4847921894400 in words is "four trillion, eight hundred forty-seven billion, nine hundred twenty-one million, eight hundred ninety-four thousand, four hundred".