4145356800 has 504 divisors, whose sum is σ = 16083322164. Its totient is φ = 1014497280.

The previous prime is 4145356793. The next prime is 4145356847. The reversal of 4145356800 is 86535414.

It is a happy number.

4145356800 is a `hidden beast` number, since 41 + 4 + 53 + 568 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1672482816 + 2472873984 = 40896^2 + 49728^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23961514 + ... + 23961686.

Almost surely, 2^4145356800 is an apocalyptic number.

4145356800 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 4145356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8041661082).

4145356800 is an abundant number, since it is smaller than the sum of its proper divisors (11937965364).

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

4145356800 is a wasteful number, since it uses less digits than its factorization.

4145356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 4145356800 is about 64384.4453264917. The cubic root of 4145356800 is about 1606.4010243217.

The spelling of 4145356800 in words is "four billion, one hundred forty-five million, three hundred fifty-six thousand, eight hundred".