4285361520 has 240 divisors, whose sum is σ = 15784704000. Its totient is φ = 1033274880.

The previous prime is 4285361519. The next prime is 4285361527. The reversal of 4285361520 is 251635824.

4285361520 is a `hidden beast` number, since 4 + 28 + 53 + 61 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4285361527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1574721 + ... + 1577439.

It is an arithmetic number, because the mean of its divisors is an integer number (65769600).

Almost surely, 2^4285361520 is an apocalyptic number.

4285361520 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 4285361520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7892352000).

4285361520 is an abundant number, since it is smaller than the sum of its proper divisors (11499342480).

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

4285361520 is a wasteful number, since it uses less digits than its factorization.

4285361520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948 (or 2939 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 4285361520 is about 65462.6727227051. The cubic root of 4285361520 is about 1624.2859531086.

The spelling of 4285361520 in words is "four billion, two hundred eighty-five million, three hundred sixty-one thousand, five hundred twenty".