4145256000 has 280 divisors, whose sum is σ = 15337618296. Its totient is φ = 1105228800.

The previous prime is 4145255963. The next prime is 4145256023. The reversal of 4145256000 is 6525414.

4145256000 is a `hidden beast` number, since 4 + 1 + 4 + 52 + 5 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1174569984 + 2970686016 = 34272^2 + 54504^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 644802 + ... + 651198.

Almost surely, 2^4145256000 is an apocalyptic number.

4145256000 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 4145256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7668809148).

4145256000 is an abundant number, since it is smaller than the sum of its proper divisors (11192362296).

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

4145256000 is an equidigital number, since it uses as much as digits as its factorization.

4145256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6436 (or 6407 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 4145256000 is about 64383.6625239664. The cubic root of 4145256000 is about 1606.3880036061.

The spelling of 4145256000 in words is "four billion, one hundred forty-five million, two hundred fifty-six thousand".