4142716560 has 120 divisors (see below), whose sum is σ = 13955457984. Its totient is φ = 1101323520.

The previous prime is 4142716537. The next prime is 4142716577. The reversal of 4142716560 is 656172414.

4142716560 is a `hidden beast` number, since 41 + 42 + 7 + 16 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229629 + ... + 247011.

Almost surely, 2^4142716560 is an apocalyptic number.

4142716560 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 4142716560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6977728992).

4142716560 is an abundant number, since it is smaller than the sum of its proper divisors (9812741424).

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

4142716560 is a wasteful number, since it uses less digits than its factorization.

4142716560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17733 (or 17724 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4142716560 is about 64363.9383506013. The cubic root of 4142716560 is about 1606.0599049111.

Adding to 4142716560 its reverse (656172414), we get a palindrome (4798888974).

The spelling of 4142716560 in words is "four billion, one hundred forty-two million, seven hundred sixteen thousand, five hundred sixty".