4114250560 has 224 divisors, whose sum is σ = 11657502720. Its totient is φ = 1353369600.

The previous prime is 4114250533. The next prime is 4114250573. The reversal of 4114250560 is 650524114.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (28).

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 31 ways as a sum of consecutive naturals, for example, 12429595 + ... + 12429925.

Almost surely, 2^4114250560 is an apocalyptic number.

4114250560 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 4114250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5828751360).

4114250560 is an abundant number, since it is smaller than the sum of its proper divisors (7543252160).

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

4114250560 is a wasteful number, since it uses less digits than its factorization.

4114250560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 4114250560 is about 64142.4240265364. The cubic root of 4114250560 is about 1602.3728542371.

Adding to 4114250560 its reverse (650524114), we get a palindrome (4764774674).

The spelling of 4114250560 in words is "four billion, one hundred fourteen million, two hundred fifty thousand, five hundred sixty".