4048728364800 has 2592 divisors, whose sum is σ = 18161359265280. Its totient is φ = 874744012800.

The previous prime is 4048728364741. The next prime is 4048728364829. The reversal of 4048728364800 is 84638278404.

It is a happy number.

4048728364800 is a `hidden beast` number, since 4 + 0 + 4 + 87 + 2 + 83 + 6 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 287 ways as a sum of consecutive naturals, for example, 94156473579 + ... + 94156473621.

Almost surely, 2^{4048728364800} is an apocalyptic number.

4048728364800 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 4048728364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9080679632640).

4048728364800 is an abundant number, since it is smaller than the sum of its proper divisors (14112630900480).

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

4048728364800 is an frugal number, since it uses more digits than its factorization.

4048728364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 4048728364800 in words is "four trillion, forty-eight billion, seven hundred twenty-eight million, three hundred sixty-four thousand, eight hundred".