4127254560 has 960 divisors, whose sum is σ = 18257145984. Its totient is φ = 862617600.

The previous prime is 4127254559. The next prime is 4127254561. The reversal of 4127254560 is 654527214.

It is a happy number.

4127254560 is a `hidden beast` number, since 41 + 2 + 7 + 2 + 54 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (4127254559) and next prime (4127254561).

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

It is not an unprimeable number, because it can be changed into a prime (4127254561) 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 159 ways as a sum of consecutive naturals, for example, 31505695 + ... + 31505825.

Almost surely, 2^4127254560 is an apocalyptic number.

4127254560 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 4127254560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9128572992).

4127254560 is an abundant number, since it is smaller than the sum of its proper divisors (14129891424).

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

4127254560 is a wasteful number, since it uses less digits than its factorization.

4127254560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 4127254560 is about 64243.7122215085. The cubic root of 4127254560 is about 1604.0592967758.

The spelling of 4127254560 in words is "four billion, one hundred twenty-seven million, two hundred fifty-four thousand, five hundred sixty".