4053544000 has 224 divisors, whose sum is σ = 11118811392. Its totient is φ = 1451520000.

The previous prime is 4053543983. The next prime is 4053544003. The reversal of 4053544000 is 4453504.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4053544003) by changing a digit.

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, 6423685 + ... + 6424315.

Almost surely, 2^4053544000 is an apocalyptic number.

4053544000 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 4053544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5559405696).

4053544000 is an abundant number, since it is smaller than the sum of its proper divisors (7065267392).

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

4053544000 is a wasteful number, since it uses less digits than its factorization.

4053544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 4053544000 is about 63667.4485117788. The cubic root of 4053544000 is about 1594.4526641431.

Adding to 4053544000 its reverse (4453504), we get a palindrome (4057997504).

The spelling of 4053544000 in words is "four billion, fifty-three million, five hundred forty-four thousand".