4200123240 has 128 divisors (see below), whose sum is σ = 14061340800. Its totient is φ = 1115159040.

The previous prime is 4200123233. The next prime is 4200123247. The reversal of 4200123240 is 423210024.

4200123240 is a `hidden beast` number, since 420 + 0 + 1 + 2 + 3 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (4200123233) and next prime (4200123247).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4200123247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243295 + ... + 259985.

It is an arithmetic number, because the mean of its divisors is an integer number (109854225).

Almost surely, 2^4200123240 is an apocalyptic number.

4200123240 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 4200123240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7030670400).

4200123240 is an abundant number, since it is smaller than the sum of its proper divisors (9861217560).

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

4200123240 is a wasteful number, since it uses less digits than its factorization.

4200123240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16944 (or 16934 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4200123240 is about 64808.3577943462. The cubic root of 4200123240 is about 1613.4444267390. Note that the first 4 decimals are identical.

Adding to 4200123240 its reverse (423210024), we get a palindrome (4623333264).

The spelling of 4200123240 in words is "four billion, two hundred million, one hundred twenty-three thousand, two hundred forty".