4854045830400 has 864 divisors, whose sum is σ = 19204067111040. Its totient is φ = 1192624128000.

The previous prime is 4854045830377. The next prime is 4854045830411. The reversal of 4854045830400 is 40385404584.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 1439940715 + ... + 1439944085.

Almost surely, 2^{4854045830400} is an apocalyptic number.

4854045830400 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 4854045830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9602033555520).

4854045830400 is an abundant number, since it is smaller than the sum of its proper divisors (14350021280640).

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

4854045830400 is a wasteful number, since it uses less digits than its factorization.

4854045830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4060 (or 4035 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 4854045830400 in words is "four trillion, eight hundred fifty-four billion, forty-five million, eight hundred thirty thousand, four hundred".