4125859200 has 576 divisors, whose sum is σ = 16295050800. Its totient is φ = 1015971840.

The previous prime is 4125859193. The next prime is 4125859211. The reversal of 4125859200 is 29585214.

4125859200 is a `hidden beast` number, since 4 + 12 + 58 + 592 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 77846374 + ... + 77846426.

Almost surely, 2^4125859200 is an apocalyptic number.

4125859200 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 4125859200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8147525400).

4125859200 is an abundant number, since it is smaller than the sum of its proper divisors (12169191600).

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

4125859200 is a wasteful number, since it uses less digits than its factorization.

4125859200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 4125859200 is about 64232.8514079828. The cubic root of 4125859200 is about 1603.8785073080.

The spelling of 4125859200 in words is "four billion, one hundred twenty-five million, eight hundred fifty-nine thousand, two hundred".