4048755791808 has 448 divisors, whose sum is σ = 13412938871808. Its totient is φ = 1049451724800.

The previous prime is 4048755791803. The next prime is 4048755791813. The reversal of 4048755791808 is 8081975578404.

It is an interprime number because it is at equal distance from previous prime (4048755791803) and next prime (4048755791813).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×4048755791808³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4048755791803) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 241751691 + ... + 241768437.

It is an arithmetic number, because the mean of its divisors is an integer number (29939595696).

Almost surely, 2^{4048755791808} is an apocalyptic number.

4048755791808 is a gapful number since it is divisible by the number (48) 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 4048755791808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6706469435904).

4048755791808 is an abundant number, since it is smaller than the sum of its proper divisors (9364183080000).

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

4048755791808 is a wasteful number, since it uses less digits than its factorization.

4048755791808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17020 (or 17010 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 66.

The spelling of 4048755791808 in words is "four trillion, forty-eight billion, seven hundred fifty-five million, seven hundred ninety-one thousand, eight hundred eight".