4251144000 has 112 divisors (see below), whose sum is σ = 14037356736. Its totient is φ = 1133632000.

The previous prime is 4251143983. The next prime is 4251144013. The reversal of 4251144000 is 4411524.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64566 + ... + 112565.

Almost surely, 2^4251144000 is an apocalyptic number.

4251144000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4251144000 is an abundant number, since it is smaller than the sum of its proper divisors (9786212736).

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

4251144000 is a wasteful number, since it uses less digits than its factorization.

4251144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177161 (or 177141 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 4251144000 is about 65200.7975411344. The cubic root of 4251144000 is about 1619.9512254786.

Adding to 4251144000 its reverse (4411524), we get a palindrome (4255555524).

The spelling of 4251144000 in words is "four billion, two hundred fifty-one million, one hundred forty-four thousand".