4782289142400 has 1152 divisors, whose sum is σ = 20243882880000. Its totient is φ = 981059788800.

The previous prime is 4782289142363. The next prime is 4782289142417. The reversal of 4782289142400 is 42419822874.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 408771751 + ... + 408783449.

It is an arithmetic number, because the mean of its divisors is an integer number (17572815000).

Almost surely, 2^{4782289142400} is an apocalyptic number.

4782289142400 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 4782289142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10121941440000).

4782289142400 is an abundant number, since it is smaller than the sum of its proper divisors (15461593737600).

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

4782289142400 is a wasteful number, since it uses less digits than its factorization.

4782289142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11830 (or 11806 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 4782289142400 in words is "four trillion, seven hundred eighty-two billion, two hundred eighty-nine million, one hundred forty-two thousand, four hundred".