4048793812800 has 3360 divisors, whose sum is σ = 18285559649280. Its totient is φ = 867129753600.

The previous prime is 4048793812787. The next prime is 4048793812841. The reversal of 4048793812800 is 82183978404.

It is a happy number.

4048793812800 is a `hidden beast` number, since 4 + 0 + 487 + 9 + 3 + 81 + 2 + 80 + 0 = 666.

It is a super-2 number, since 2×4048793812800² (a number of 26 digits) contains 22 as substring.

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 polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 41740142352 + ... + 41740142448.

It is an arithmetic number, because the mean of its divisors is an integer number (5442130848).

Almost surely, 2^{4048793812800} is an apocalyptic number.

4048793812800 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 4048793812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9142779824640).

4048793812800 is an abundant number, since it is smaller than the sum of its proper divisors (14236765836480).

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

4048793812800 is a wasteful number, since it uses less digits than its factorization.

4048793812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 4048793812800 in words is "four trillion, forty-eight billion, seven hundred ninety-three million, eight hundred twelve thousand, eight hundred".