4738867200000 has 816 divisors, whose sum is σ = 17570581348320. Its totient is φ = 1262223360000.

The previous prime is 4738867199977. The next prime is 4738867200013. The reversal of 4738867200000 is 27688374.

It is a happy number.

4738867200000 is a `hidden beast` number, since 4 + 7 + 388 + 67 + 200 + 0 + 0 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5529599572 + ... + 5529600428.

Almost surely, 2^{4738867200000} is an apocalyptic number.

4738867200000 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 4738867200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8785290674160).

4738867200000 is an abundant number, since it is smaller than the sum of its proper divisors (12831714148320).

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

4738867200000 is an frugal number, since it uses more digits than its factorization.

4738867200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 4738867200000 in words is "four trillion, seven hundred thirty-eight billion, eight hundred sixty-seven million, two hundred thousand".