4252127040 has 672 divisors, whose sum is σ = 18658149120. Its totient is φ = 865271808.

The previous prime is 4252126993. The next prime is 4252127041. The reversal of 4252127040 is 407212524.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 4252126995 and 4252127013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4252127041) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 6511354 + ... + 6512006.

Almost surely, 2^4252127040 is an apocalyptic number.

4252127040 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 4252127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9329074560).

4252127040 is an abundant number, since it is smaller than the sum of its proper divisors (14406022080).

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

4252127040 is a wasteful number, since it uses less digits than its factorization.

4252127040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 4252127040 is about 65208.3356634717. The cubic root of 4252127040 is about 1620.0760823893.

Adding to 4252127040 its reverse (407212524), we get a palindrome (4659339564).

The spelling of 4252127040 in words is "four billion, two hundred fifty-two million, one hundred twenty-seven thousand, forty".