4869146444400 has 720 divisors, whose sum is σ = 20178479566080. Its totient is φ = 1111929638400.

The previous prime is 4869146444381. The next prime is 4869146444417. The reversal of 4869146444400 is 44446419684.

4869146444400 is a `hidden beast` number, since 48 + 69 + 1 + 464 + 44 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 683193637 + ... + 683200763.

It is an arithmetic number, because the mean of its divisors is an integer number (28025666064).

Almost surely, 2^{4869146444400} is an apocalyptic number.

4869146444400 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 4869146444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10089239783040).

4869146444400 is an abundant number, since it is smaller than the sum of its proper divisors (15309333121680).

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

4869146444400 is a wasteful number, since it uses less digits than its factorization.

4869146444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8459 (or 8435 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 4869146444400 in words is "four trillion, eight hundred sixty-nine billion, one hundred forty-six million, four hundred forty-four thousand, four hundred".