4045124160 has 1344 divisors, whose sum is σ = 19514027520. Its totient is φ = 743178240.

The previous prime is 4045124147. The next prime is 4045124243. The reversal of 4045124160 is 614215404.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 2146 × 990 × 1904.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 109327662 + ... + 109327698.

Almost surely, 2^4045124160 is an apocalyptic number.

4045124160 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 4045124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9757013760).

4045124160 is an abundant number, since it is smaller than the sum of its proper divisors (15468903360).

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

4045124160 is a wasteful number, since it uses less digits than its factorization.

4045124160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4045124160 is about 63601.2905529440. The cubic root of 4045124160 is about 1593.3479236695.

Adding to 4045124160 its reverse (614215404), we get a palindrome (4659339564).

The spelling of 4045124160 in words is "four billion, forty-five million, one hundred twenty-four thousand, one hundred sixty".