4127549338080 has 1152 divisors, whose sum is σ = 16901691206400. Its totient is φ = 897387724800.

The previous prime is 4127549338057. The next prime is 4127549338139. The reversal of 4127549338080 is 808339457214.

It is a happy number.

4127549338080 is a `hidden beast` number, since 4 + 1 + 2 + 75 + 493 + 3 + 8 + 0 + 80 = 666.

It is a super-2 number, since 2×4127549338080² (a number of 26 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 8953469050 + ... + 8953469510.

It is an arithmetic number, because the mean of its divisors is an integer number (14671606950).

Almost surely, 2^{4127549338080} is an apocalyptic number.

4127549338080 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 4127549338080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8450845603200).

4127549338080 is an abundant number, since it is smaller than the sum of its proper divisors (12774141868320).

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

4127549338080 is a wasteful number, since it uses less digits than its factorization.

4127549338080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 4127549338080 in words is "four trillion, one hundred twenty-seven billion, five hundred forty-nine million, three hundred thirty-eight thousand, eighty".