4859121214800 has 1080 divisors, whose sum is σ = 18152681202656. Its totient is φ = 1248928865280.

The previous prime is 4859121214793. The next prime is 4859121214817. The reversal of 4859121214800 is 84121219584.

4859121214800 is a `hidden beast` number, since 4 + 8 + 591 + 2 + 12 + 1 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×4859121214800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 215 ways as a sum of consecutive naturals, for example, 15827756247 + ... + 15827756553.

Almost surely, 2^{4859121214800} is an apocalyptic number.

4859121214800 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 4859121214800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9076340601328).

4859121214800 is an abundant number, since it is smaller than the sum of its proper divisors (13293559987856).

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

4859121214800 is a wasteful number, since it uses less digits than its factorization.

4859121214800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 4859121214800 in words is "four trillion, eight hundred fifty-nine billion, one hundred twenty-one million, two hundred fourteen thousand, eight hundred".