4984146878400 has 252 divisors, whose sum is σ = 17728559566432. Its totient is φ = 1328076103680.

The previous prime is 4984146878341. The next prime is 4984146878401. The reversal of 4984146878400 is 48786414894.

4984146878400 is a `hidden beast` number, since 4 + 9 + 8 + 4 + 146 + 87 + 8 + 400 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4984146878401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18543369 + ... + 18810231.

Almost surely, 2^{4984146878400} is an apocalyptic number.

4984146878400 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 4984146878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8864279783216).

4984146878400 is an abundant number, since it is smaller than the sum of its proper divisors (12744412688032).

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

4984146878400 is a wasteful number, since it uses less digits than its factorization.

4984146878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268188 (or 268170 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 4984146878400 in words is "four trillion, nine hundred eighty-four billion, one hundred forty-six million, eight hundred seventy-eight thousand, four hundred".