4053736960 has 160 divisors (see below), whose sum is σ = 11963109312. Its totient is φ = 1282867200.

The previous prime is 4053736949. The next prime is 4053736961. The reversal of 4053736960 is 696373504.

It is a tau number, because it is divible by the number of its divisors (160).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4053736961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224260 + ... + 241660.

Almost surely, 2^4053736960 is an apocalyptic number.

4053736960 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 4053736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5981554656).

4053736960 is an abundant number, since it is smaller than the sum of its proper divisors (7909372352).

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

4053736960 is a wasteful number, since it uses less digits than its factorization.

4053736960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17444 (or 17428 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 43.

The square root of 4053736960 is about 63668.9638678061. The cubic root of 4053736960 is about 1594.4779638730.

The spelling of 4053736960 in words is "four billion, fifty-three million, seven hundred thirty-six thousand, nine hundred sixty".