4160562560 has 256 divisors, whose sum is σ = 12661056000. Its totient is φ = 1296046080.

The previous prime is 4160562557. The next prime is 4160562577. The reversal of 4160562560 is 652650614.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 4160562560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2413859 + ... + 2415581.

It is an arithmetic number, because the mean of its divisors is an integer number (49457250).

Almost surely, 2^4160562560 is an apocalyptic number.

4160562560 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 4160562560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6330528000).

4160562560 is an abundant number, since it is smaller than the sum of its proper divisors (8500493440).

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

4160562560 is a wasteful number, since it uses less digits than its factorization.

4160562560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 4160562560 is about 64502.4229002291. The cubic root of 4160562560 is about 1608.3627969462.

The spelling of 4160562560 in words is "four billion, one hundred sixty million, five hundred sixty-two thousand, five hundred sixty".