4484859046800 has 720 divisors, whose sum is σ = 16861598121984. Its totient is φ = 1015749504000.

The previous prime is 4484859046771. The next prime is 4484859046831. The reversal of 4484859046800 is 86409584844.

It is a super-2 number, since 2×4484859046800² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 143587185 + ... + 143618415.

Almost surely, 2^{4484859046800} is an apocalyptic number.

4484859046800 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 4484859046800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8430799060992).

4484859046800 is an abundant number, since it is smaller than the sum of its proper divisors (12376739075184).

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

4484859046800 is a wasteful number, since it uses less digits than its factorization.

4484859046800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31340 (or 31318 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 60.

The spelling of 4484859046800 in words is "four trillion, four hundred eighty-four billion, eight hundred fifty-nine million, forty-six thousand, eight hundred".