4048127124480 has 528 divisors, whose sum is σ = 14573954828160. Its totient is φ = 1077438578688.

The previous prime is 4048127124463. The next prime is 4048127124493. The reversal of 4048127124480 is 844217218404.

4048127124480 is a `hidden beast` number, since 4 + 0 + 4 + 81 + 2 + 71 + 24 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 717877501 + ... + 717883139.

Almost surely, 2^{4048127124480} is an apocalyptic number.

4048127124480 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 4048127124480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7286977414080).

4048127124480 is an abundant number, since it is smaller than the sum of its proper divisors (10525827703680).

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

4048127124480 is an equidigital number, since it uses as much as digits as its factorization.

4048127124480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6256 (or 6226 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 4048127124480 in words is "four trillion, forty-eight billion, one hundred twenty-seven million, one hundred twenty-four thousand, four hundred eighty".