4121625600 has 528 divisors, whose sum is σ = 15534273600. Its totient is φ = 1070530560.

The previous prime is 4121625593. The next prime is 4121625617. The reversal of 4121625600 is 65261214.

4121625600 is a `hidden beast` number, since 41 + 2 + 1 + 62 + 560 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46310356 + ... + 46310444.

Almost surely, 2^4121625600 is an apocalyptic number.

4121625600 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 4121625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7767136800).

4121625600 is an abundant number, since it is smaller than the sum of its proper divisors (11412648000).

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

4121625600 is a wasteful number, since it uses less digits than its factorization.

4121625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4121625600 is about 64199.8878503693. The cubic root of 4121625600 is about 1603.3297324110.

Adding to 4121625600 its reverse (65261214), we get a palindrome (4186886814).

The spelling of 4121625600 in words is "four billion, one hundred twenty-one million, six hundred twenty-five thousand, six hundred".