4127248320 has 224 divisors, whose sum is σ = 14184855552. Its totient is φ = 1010700288.

The previous prime is 4127248211. The next prime is 4127248327. The reversal of 4127248320 is 238427214.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4127248327) 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, 2782299 + ... + 2783781.

It is an arithmetic number, because the mean of its divisors is an integer number (63325248).

Almost surely, 2^4127248320 is an apocalyptic number.

4127248320 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 4127248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7092427776).

4127248320 is an abundant number, since it is smaller than the sum of its proper divisors (10057607232).

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

4127248320 is a wasteful number, since it uses less digits than its factorization.

4127248320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1739 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 4127248320 is about 64243.6636564261. The cubic root of 4127248320 is about 1604.0584883824.

The spelling of 4127248320 in words is "four billion, one hundred twenty-seven million, two hundred forty-eight thousand, three hundred twenty".