4738480135200 has 432 divisors, whose sum is σ = 20219377127040. Its totient is φ = 1019370332160.

The previous prime is 4738480135127. The next prime is 4738480135201. The reversal of 4738480135200 is 25310848374.

4738480135200 is a `hidden beast` number, since 4 + 7 + 38 + 4 + 80 + 13 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4738480135201) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1908420 + ... + 3622019.

It is an arithmetic number, because the mean of its divisors is an integer number (46804113720).

Almost surely, 2^{4738480135200} is an apocalyptic number.

4738480135200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4738480135200 is an abundant number, since it is smaller than the sum of its proper divisors (15480896991840).

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

4738480135200 is a wasteful number, since it uses less digits than its factorization.

4738480135200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5530489 (or 5530473 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 4738480135200 in words is "four trillion, seven hundred thirty-eight billion, four hundred eighty million, one hundred thirty-five thousand, two hundred".