201483878400 has 792 divisors, whose sum is σ = 838390838064. Its totient is φ = 45298483200.

The previous prime is 201483878371. The next prime is 201483878437. The reversal of 201483878400 is 4878384102.

201483878400 is a `hidden beast` number, since 2 + 0 + 148 + 38 + 78 + 400 = 666.

201483878400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3303014370 + ... + 3303014430.

Almost surely, 2^201483878400 is an apocalyptic number.

201483878400 is a gapful number since it is divisible by the number (20) 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 201483878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419195419032).

201483878400 is an abundant number, since it is smaller than the sum of its proper divisors (636906959664).

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

201483878400 is an frugal number, since it uses more digits than its factorization.

201483878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 201483878400 in words is "two hundred one billion, four hundred eighty-three million, eight hundred seventy-eight thousand, four hundred".