4125253440000 has 800 divisors, whose sum is σ = 17121994407936. Its totient is φ = 857180160000.

The previous prime is 4125253439999. The next prime is 4125253440041. The reversal of 4125253440000 is 443525214.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 4125253440000.

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 79 ways as a sum of consecutive naturals, for example, 73892097 + ... + 73947903.

Almost surely, 2^{4125253440000} is an apocalyptic number.

4125253440000 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 4125253440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8560997203968).

4125253440000 is an abundant number, since it is smaller than the sum of its proper divisors (12996740967936).

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

4125253440000 is an equidigital number, since it uses as much as digits as its factorization.

4125253440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55866 (or 55835 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 4125253440000 its reverse (443525214), we get a palindrome (4125696965214).

The spelling of 4125253440000 in words is "four trillion, one hundred twenty-five billion, two hundred fifty-three million, four hundred forty thousand".