4168958560 has 96 divisors (see below), whose sum is σ = 10639036800. Its totient is φ = 1534629888.

The previous prime is 4168958527. The next prime is 4168958561. The reversal of 4168958560 is 658598614.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 4168958498 and 4168958507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4168958561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 723049 + ... + 728791.

It is an arithmetic number, because the mean of its divisors is an integer number (110823300).

Almost surely, 2^4168958560 is an apocalyptic number.

4168958560 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 4168958560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5319518400).

4168958560 is an abundant number, since it is smaller than the sum of its proper divisors (6470078240).

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

4168958560 is a wasteful number, since it uses less digits than its factorization.

4168958560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6120 (or 6112 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 52.

The square root of 4168958560 is about 64567.4729256148. The cubic root of 4168958560 is about 1609.4439600878.

The spelling of 4168958560 in words is "four billion, one hundred sixty-eight million, nine hundred fifty-eight thousand, five hundred sixty".