4938412836672 has 560 divisors, whose sum is σ = 17660503850880. Its totient is φ = 1336645877760.

The previous prime is 4938412836667. The next prime is 4938412836673. The reversal of 4938412836672 is 2766382148394.

4938412836672 is a `hidden beast` number, since 4 + 9 + 3 + 84 + 128 + 366 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4938412836673) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 248889472 + ... + 248909312.

Almost surely, 2^{4938412836672} is an apocalyptic number.

4938412836672 is a gapful number since it is divisible by the number (42) 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 4938412836672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8830251925440).

4938412836672 is an abundant number, since it is smaller than the sum of its proper divisors (12722091014208).

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

4938412836672 is an equidigital number, since it uses as much as digits as its factorization.

4938412836672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19929 (or 19872 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 4938412836672 in words is "four trillion, nine hundred thirty-eight billion, four hundred twelve million, eight hundred thirty-six thousand, six hundred seventy-two".