4389854676480 has 1280 divisors, whose sum is σ = 19333462579200. Its totient is φ = 919364567040.

The previous prime is 4389854676419. The next prime is 4389854676497. The reversal of 4389854676480 is 846764589834.

4389854676480 is a `hidden beast` number, since 4 + 3 + 8 + 9 + 8 + 546 + 76 + 4 + 8 + 0 = 666.

4389854676480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×4389854676480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4389854676399 and 4389854676408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 874296370 + ... + 874301390.

It is an arithmetic number, because the mean of its divisors is an integer number (15104267640).

Almost surely, 2^{4389854676480} is an apocalyptic number.

4389854676480 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 4389854676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9666731289600).

4389854676480 is an abundant number, since it is smaller than the sum of its proper divisors (14943607902720).

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

4389854676480 is a wasteful number, since it uses less digits than its factorization.

4389854676480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5212 (or 5190 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 72.

The spelling of 4389854676480 in words is "four trillion, three hundred eighty-nine billion, eight hundred fifty-four million, six hundred seventy-six thousand, four hundred eighty".