4921748582400 has 1872 divisors, whose sum is σ = 20243784689856. Its totient is φ = 1133594542080.

The previous prime is 4921748582281. The next prime is 4921748582419. The reversal of 4921748582400 is 42858471294.

4921748582400 is a `hidden beast` number, since 4 + 9 + 2 + 17 + 4 + 8 + 582 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14604595032 + ... + 14604595368.

It is an arithmetic number, because the mean of its divisors is an integer number (10813987548).

Almost surely, 2^{4921748582400} is an apocalyptic number.

4921748582400 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 4921748582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10121892344928).

4921748582400 is an abundant number, since it is smaller than the sum of its proper divisors (15322036107456).

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

4921748582400 is a wasteful number, since it uses less digits than its factorization.

4921748582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 4921748582400 in words is "four trillion, nine hundred twenty-one billion, seven hundred forty-eight million, five hundred eighty-two thousand, four hundred".