4738621670400 has 264 divisors, whose sum is σ = 16582654311840. Its totient is φ = 1189300797440.

The previous prime is 4738621670359. The next prime is 4738621670407. The reversal of 4738621670400 is 40761268374.

It is a happy number.

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 4738621670400.

It is not an unprimeable number, because it can be changed into a prime (4738621670407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 509130 + ... + 3120329.

Almost surely, 2^{4738621670400} is an apocalyptic number.

4738621670400 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 4738621670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8291327155920).

4738621670400 is an abundant number, since it is smaller than the sum of its proper divisors (11844032641440).

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

4738621670400 is a wasteful number, since it uses less digits than its factorization.

4738621670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3629509 (or 3629486 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 4738621670400 in words is "four trillion, seven hundred thirty-eight billion, six hundred twenty-one million, six hundred seventy thousand, four hundred".