4145573760 has 256 divisors, whose sum is σ = 14133968640. Its totient is φ = 1029865472.

The previous prime is 4145573723. The next prime is 4145573819. The reversal of 4145573760 is 673755414.

It is a happy number.

4145573760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3491887 + ... + 3493073.

It is an arithmetic number, because the mean of its divisors is an integer number (55210815).

Almost surely, 2^4145573760 is an apocalyptic number.

4145573760 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 4145573760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7066984320).

4145573760 is an abundant number, since it is smaller than the sum of its proper divisors (9988394880).

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

4145573760 is a wasteful number, since it uses less digits than its factorization.

4145573760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The square root of 4145573760 is about 64386.1301834487. The cubic root of 4145573760 is about 1606.4290491459.

The spelling of 4145573760 in words is "four billion, one hundred forty-five million, five hundred seventy-three thousand, seven hundred sixty".