4048375132704 has 192 divisors, whose sum is σ = 12286074802176. Its totient is φ = 1143310823424.

The previous prime is 4048375132663. The next prime is 4048375132709. The reversal of 4048375132704 is 4072315738404.

4048375132704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4048375132704² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4048375132709) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27795879 + ... + 27941145.

It is an arithmetic number, because the mean of its divisors is an integer number (63989972928).

Almost surely, 2^{4048375132704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4048375132704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6143037401088).

4048375132704 is an abundant number, since it is smaller than the sum of its proper divisors (8237699669472).

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

4048375132704 is a wasteful number, since it uses less digits than its factorization.

4048375132704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145767 (or 145759 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The spelling of 4048375132704 in words is "four trillion, forty-eight billion, three hundred seventy-five million, one hundred thirty-two thousand, seven hundred four".