4125081600 has 360 divisors, whose sum is σ = 15196023920. Its totient is φ = 1097072640.

The previous prime is 4125081599. The next prime is 4125081673. The reversal of 4125081600 is 61805214.

4125081600 is a `hidden beast` number, since 4 + 1 + 2 + 50 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 11059014 + ... + 11059386.

Almost surely, 2^4125081600 is an apocalyptic number.

4125081600 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 4125081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7598011960).

4125081600 is an abundant number, since it is smaller than the sum of its proper divisors (11070942320).

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

4125081600 is an equidigital number, since it uses as much as digits as its factorization.

4125081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 4125081600 is about 64226.7981453225. The cubic root of 4125081600 is about 1603.7777400717. Note that the first 4 decimals are identical.

Adding to 4125081600 its reverse (61805214), we get a palindrome (4186886814).

The spelling of 4125081600 in words is "four billion, one hundred twenty-five million, eighty-one thousand, six hundred".