4261125600 has 216 divisors, whose sum is σ = 15072941520. Its totient is φ = 1132738560.

The previous prime is 4261125593. The next prime is 4261125619. The reversal of 4261125600 is 65211624.

4261125600 is a `hidden beast` number, since 4 + 26 + 11 + 25 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2944077 + ... + 2945523.

Almost surely, 2^4261125600 is an apocalyptic number.

4261125600 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 4261125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7536470760).

4261125600 is an abundant number, since it is smaller than the sum of its proper divisors (10811815920).

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

4261125600 is a wasteful number, since it uses less digits than its factorization.

4261125600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882 (or 1866 counting only the distinct ones).

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

The square root of 4261125600 is about 65277.2977381877. The cubic root of 4261125600 is about 1621.2181053471.

The spelling of 4261125600 in words is "four billion, two hundred sixty-one million, one hundred twenty-five thousand, six hundred".