4193026560 has 400 divisors, whose sum is σ = 15278783256. Its totient is φ = 1098842112.

The previous prime is 4193026553. The next prime is 4193026561. The reversal of 4193026560 is 656203914.

It is a happy number.

4193026560 is a `hidden beast` number, since 4 + 1 + 93 + 0 + 2 + 6 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2823434496 + 1369592064 = 53136^2 + 37008^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (4193026561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15137142 + ... + 15137418.

Almost surely, 2^4193026560 is an apocalyptic number.

4193026560 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 4193026560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7639391628).

4193026560 is an abundant number, since it is smaller than the sum of its proper divisors (11085756696).

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

4193026560 is an equidigital number, since it uses as much as digits as its factorization.

4193026560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 4193026560 is about 64753.5833757484. The cubic root of 4193026560 is about 1612.5352031255.

The spelling of 4193026560 in words is "four billion, one hundred ninety-three million, twenty-six thousand, five hundred sixty".