4144765000 has 40 divisors (see below), whose sum is σ = 9711196110. Its totient is φ = 1657904000.

The previous prime is 4144764973. The next prime is 4144765021. The reversal of 4144765000 is 5674414.

It can be written as a sum of positive squares in 5 ways, for example, as 713851524 + 3430913476 = 26718^2 + 58574^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 409477 + ... + 419476.

Almost surely, 2^4144765000 is an apocalyptic number.

4144765000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144765000 is an abundant number, since it is smaller than the sum of its proper divisors (5566431110).

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

4144765000 is an equidigital number, since it uses as much as digits as its factorization.

4144765000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828979 (or 828960 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 4144765000 is about 64379.8493319144. The cubic root of 4144765000 is about 1606.3245762687.

The spelling of 4144765000 in words is "four billion, one hundred forty-four million, seven hundred sixty-five thousand".