4145218560 has 528 divisors, whose sum is σ = 16738106112. Its totient is φ = 928972800.

The previous prime is 4145218541. The next prime is 4145218673. The reversal of 4145218560 is 658125414.

It is a happy number.

4145218560 is a `hidden beast` number, since 41 + 4 + 52 + 1 + 8 + 560 = 666.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 22901670 + ... + 22901850.

Almost surely, 2^4145218560 is an apocalyptic number.

4145218560 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 4145218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8369053056).

4145218560 is an abundant number, since it is smaller than the sum of its proper divisors (12592887552).

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

4145218560 is a wasteful number, since it uses less digits than its factorization.

4145218560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 4145218560 is about 64383.3717663187. The cubic root of 4145218560 is about 1606.3831672866.

The spelling of 4145218560 in words is "four billion, one hundred forty-five million, two hundred eighteen thousand, five hundred sixty".