4125200000000 has 198 divisors, whose sum is σ = 10308958588998. Its totient is φ = 1649920000000.

The previous prime is 4125199999981. The next prime is 4125200000023. The reversal of 4125200000000 is 25214.

It can be written as a sum of positive squares in 9 ways, for example, as 1186252079104 + 2938947920896 = 1089152^2 + 1714336^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 399994844 + ... + 400005156.

Almost surely, 2^{4125200000000} is an apocalyptic number.

4125200000000 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 4125200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5154479294499).

4125200000000 is an abundant number, since it is smaller than the sum of its proper divisors (6183758588998).

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

4125200000000 is an frugal number, since it uses more digits than its factorization.

4125200000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10373 (or 10320 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

Adding to 4125200000000 its reverse (25214), we get a palindrome (4125200025214).

The spelling of 4125200000000 in words is "four trillion, one hundred twenty-five billion, two hundred million", and thus it is an aban number.