4125941820 has 768 divisors, whose sum is σ = 18289152000. Its totient is φ = 743178240.

The previous prime is 4125941819. The next prime is 4125941839. The reversal of 4125941820 is 281495214.

4125941820 is a `hidden beast` number, since 41 + 2 + 594 + 1 + 8 + 20 = 666.

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 255 ways as a sum of consecutive naturals, for example, 9188956 + ... + 9189404.

It is an arithmetic number, because the mean of its divisors is an integer number (23814000).

Almost surely, 2^4125941820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4125941820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9144576000).

4125941820 is an abundant number, since it is smaller than the sum of its proper divisors (14163210180).

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

4125941820 is a wasteful number, since it uses less digits than its factorization.

4125941820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 4125941820 is about 64233.4945336154. The cubic root of 4125941820 is about 1603.8892130827.

It can be divided in two parts, 412594 and 1820, that added together give a palindrome (414414).

The spelling of 4125941820 in words is "four billion, one hundred twenty-five million, nine hundred forty-one thousand, eight hundred twenty".