4125634203600 has 3600 divisors, whose sum is σ = 19675666145520. Its totient is φ = 819354009600.

The previous prime is 4125634203583. The next prime is 4125634203601. The reversal of 4125634203600 is 63024365214.

4125634203600 is a `hidden beast` number, since 4 + 1 + 2 + 5 + 6 + 3 + 42 + 0 + 3 + 600 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 4010582990736 + 115051212864 = 2002644^2 + 339192^2 .

It is a tau number, because it is divible by the number of its divisors (3600).

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 (4125634203601) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 36510037144 + ... + 36510037256.

Almost surely, 2^{4125634203600} is an apocalyptic number.

4125634203600 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 4125634203600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9837833072760).

4125634203600 is an abundant number, since it is smaller than the sum of its proper divisors (15550031941920).

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

4125634203600 is a wasteful number, since it uses less digits than its factorization.

4125634203600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 4125634203600 its reverse (63024365214), we get a palindrome (4188658568814).

It can be divided in two parts, 4125634 and 203600, that added together give a palindrome (4329234).

The spelling of 4125634203600 in words is "four trillion, one hundred twenty-five billion, six hundred thirty-four million, two hundred three thousand, six hundred".