4251433248000 has 648 divisors, whose sum is σ = 15808325151528. Its totient is φ = 1097072640000.

The previous prime is 4251433247987. The next prime is 4251433248001. The reversal of 4251433248000 is 8423341524.

4251433248000 is a `hidden beast` number, since 4 + 2 + 5 + 143 + 32 + 480 + 0 + 0 = 666.

4251433248000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 22586482944 + 4228846765056 = 150288^2 + 2056416^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4251433248001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 276760320 + ... + 276775680.

Almost surely, 2^{4251433248000} is an apocalyptic number.

4251433248000 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 4251433248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7904162575764).

4251433248000 is an abundant number, since it is smaller than the sum of its proper divisors (11556891903528).

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

4251433248000 is a wasteful number, since it uses less digits than its factorization.

4251433248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15460 (or 15402 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 4251433248000 its reverse (8423341524), we get a palindrome (4259856589524).

The spelling of 4251433248000 in words is "four trillion, two hundred fifty-one billion, four hundred thirty-three million, two hundred forty-eight thousand".