4251012341200 has 120 divisors (see below), whose sum is σ = 10344259353600. Its totient is φ = 1678568686080.

The previous prime is 4251012341189. The next prime is 4251012341237. The reversal of 4251012341200 is 21432101524.

4251012341200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4251012341200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247387809 + ... + 247404991.

It is an arithmetic number, because the mean of its divisors is an integer number (86202161280).

Almost surely, 2^{4251012341200} is an apocalyptic number.

4251012341200 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 4251012341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5172129676800).

4251012341200 is an abundant number, since it is smaller than the sum of its proper divisors (6093247012400).

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

4251012341200 is a wasteful number, since it uses less digits than its factorization.

4251012341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25109 (or 25098 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 4251012341200 its reverse (21432101524), we get a palindrome (4272444442724).

The spelling of 4251012341200 in words is "four trillion, two hundred fifty-one billion, twelve million, three hundred forty-one thousand, two hundred".