4053360960 has 224 divisors, whose sum is σ = 15599664000. Its totient is φ = 982609920.

The previous prime is 4053360959. The next prime is 4053360973. The reversal of 4053360960 is 690633504.

4053360960 is a `hidden beast` number, since 4 + 0 + 533 + 60 + 9 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 73716 + ... + 116364.

Almost surely, 2^4053360960 is an apocalyptic number.

4053360960 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 4053360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7799832000).

4053360960 is an abundant number, since it is smaller than the sum of its proper divisors (11546303040).

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

4053360960 is a wasteful number, since it uses less digits than its factorization.

4053360960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42686 (or 42670 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 4053360960 is about 63666.0110262925. The cubic root of 4053360960 is about 1594.4286643207.

The spelling of 4053360960 in words is "four billion, fifty-three million, three hundred sixty thousand, nine hundred sixty".