4123855800 has 288 divisors, whose sum is σ = 14642344080. Its totient is φ = 1078272000.

The previous prime is 4123855781. The next prime is 4123855819. The reversal of 4123855800 is 85583214.

It is a happy number.

4123855800 is a `hidden beast` number, since 41 + 2 + 38 + 5 + 580 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4123855781) and next prime (4123855819).

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, 2575000 + ... + 2576600.

Almost surely, 2^4123855800 is an apocalyptic number.

4123855800 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 4123855800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7321172040).

4123855800 is an abundant number, since it is smaller than the sum of its proper divisors (10518488280).

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

4123855800 is a wasteful number, since it uses less digits than its factorization.

4123855800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 4123855800 is about 64217.2546906203. The cubic root of 4123855800 is about 1603.6188660012.

The spelling of 4123855800 in words is "four billion, one hundred twenty-three million, eight hundred fifty-five thousand, eight hundred".