4145657600 has 432 divisors, whose sum is σ = 12539989056. Its totient is φ = 1327104000.

The previous prime is 4145657531. The next prime is 4145657617. The reversal of 4145657600 is 67565414.

4145657600 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 47 ways as a sum of consecutive naturals, for example, 67961570 + ... + 67961630.

Almost surely, 2^4145657600 is an apocalyptic number.

4145657600 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 4145657600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6269994528).

4145657600 is an abundant number, since it is smaller than the sum of its proper divisors (8394331456).

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

4145657600 is a wasteful number, since it uses less digits than its factorization.

4145657600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 4145657600 is about 64386.7812520551. The cubic root of 4145657600 is about 1606.4398785357.

The spelling of 4145657600 in words is "four billion, one hundred forty-five million, six hundred fifty-seven thousand, six hundred".