4168402560 has 576 divisors, whose sum is σ = 17395953120. Its totient is φ = 951035904.

The previous prime is 4168402547. The next prime is 4168402561. The reversal of 4168402560 is 652048614.

4168402560 is a `hidden beast` number, since 4 + 16 + 84 + 0 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (4168402561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7620207 + ... + 7620753.

Almost surely, 2^4168402560 is an apocalyptic number.

4168402560 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 4168402560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8697976560).

4168402560 is an abundant number, since it is smaller than the sum of its proper divisors (13227550560).

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

4168402560 is an equidigital number, since it uses as much as digits as its factorization.

4168402560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4168402560 is about 64563.1672085563. The cubic root of 4168402560 is about 1609.3724081952.

The spelling of 4168402560 in words is "four billion, one hundred sixty-eight million, four hundred two thousand, five hundred sixty".