4193795520 has 448 divisors, whose sum is σ = 15873984000. Its totient is φ = 1039122432.

The previous prime is 4193795519. The next prime is 4193795527. The reversal of 4193795520 is 255973914.

It is a happy number.

4193795520 is a `hidden beast` number, since 4 + 1 + 9 + 37 + 95 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4193795527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9685224 + ... + 9685656.

It is an arithmetic number, because the mean of its divisors is an integer number (35433000).

Almost surely, 2^4193795520 is an apocalyptic number.

4193795520 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 4193795520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7936992000).

4193795520 is an abundant number, since it is smaller than the sum of its proper divisors (11680188480).

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

4193795520 is a wasteful number, since it uses less digits than its factorization.

4193795520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 4193795520 is about 64759.5206900113. The cubic root of 4193795520 is about 1612.6337714873.

The spelling of 4193795520 in words is "four billion, one hundred ninety-three million, seven hundred ninety-five thousand, five hundred twenty".