4746385502400 has 1344 divisors, whose sum is σ = 17538212482560. Its totient is φ = 1118208000000.

The previous prime is 4746385502393. The next prime is 4746385502413. The reversal of 4746385502400 is 42055836474.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4746385502400.

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 191 ways as a sum of consecutive naturals, for example, 18909902275 + ... + 18909902525.

It is an arithmetic number, because the mean of its divisors is an integer number (13049265240).

Almost surely, 2^{4746385502400} is an apocalyptic number.

4746385502400 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 4746385502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8769106241280).

4746385502400 is an abundant number, since it is smaller than the sum of its proper divisors (12791826980160).

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

4746385502400 is a wasteful number, since it uses less digits than its factorization.

4746385502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 48.

The spelling of 4746385502400 in words is "four trillion, seven hundred forty-six billion, three hundred eighty-five million, five hundred two thousand, four hundred".