4053762048 has 256 divisors, whose sum is σ = 12733712640. Its totient is φ = 1123024896.

The previous prime is 4053762023. The next prime is 4053762049. The reversal of 4053762048 is 8402673504.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (256).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 4053761997 and 4053762015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4053762049) 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, 29589436 + ... + 29589572.

It is an arithmetic number, because the mean of its divisors is an integer number (49741065).

Almost surely, 2^4053762048 is an apocalyptic number.

4053762048 is a gapful number since it is divisible by the number (48) 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 4053762048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6366856320).

4053762048 is an abundant number, since it is smaller than the sum of its proper divisors (8679950592).

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

4053762048 is an equidigital number, since it uses as much as digits as its factorization.

4053762048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 4053762048 is about 63669.1608865705. The cubic root of 4053762048 is about 1594.4812531984.

The spelling of 4053762048 in words is "four billion, fifty-three million, seven hundred sixty-two thousand, forty-eight".