4938460531200 has 1440 divisors, whose sum is σ = 21209268769920. Its totient is φ = 1122199142400.

The previous prime is 4938460531189. The next prime is 4938460531201. The reversal of 4938460531200 is 21350648394.

4938460531200 is a `hidden beast` number, since 4 + 9 + 3 + 8 + 4 + 605 + 31 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 (4938460531201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3268338445 + ... + 3268339955.

It is an arithmetic number, because the mean of its divisors is an integer number (14728658868).

Almost surely, 2^{4938460531200} is an apocalyptic number.

4938460531200 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 4938460531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10604634384960).

4938460531200 is an abundant number, since it is smaller than the sum of its proper divisors (16270808238720).

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

4938460531200 is a wasteful number, since it uses less digits than its factorization.

4938460531200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 4938460531200 in words is "four trillion, nine hundred thirty-eight billion, four hundred sixty million, five hundred thirty-one thousand, two hundred".