4127413248 has 264 divisors, whose sum is σ = 13749158592. Its totient is φ = 1168146432.

The previous prime is 4127413243. The next prime is 4127413271. The reversal of 4127413248 is 8423147214.

4127413248 is a `hidden beast` number, since 412 + 74 + 132 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4127413243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8837911 + ... + 8838377.

Almost surely, 2^4127413248 is an apocalyptic number.

4127413248 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 4127413248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6874579296).

4127413248 is an abundant number, since it is smaller than the sum of its proper divisors (9621745344).

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

4127413248 is a wasteful number, since it uses less digits than its factorization.

4127413248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 616 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 4127413248 is about 64244.9472565742. The cubic root of 4127413248 is about 1604.0798545659.

The spelling of 4127413248 in words is "four billion, one hundred twenty-seven million, four hundred thirteen thousand, two hundred forty-eight".