4000504200 has 384 divisors, whose sum is σ = 15603287040. Its totient is φ = 823680000.

The previous prime is 4000504199. The next prime is 4000504201. The reversal of 4000504200 is 24050004.

It is an interprime number because it is at equal distance from previous prime (4000504199) and next prime (4000504201).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4000504200.

It is not an unprimeable number, because it can be changed into a prime (4000504201) 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 95 ways as a sum of consecutive naturals, for example, 6051870 + ... + 6052530.

It is an arithmetic number, because the mean of its divisors is an integer number (40633560).

Almost surely, 2^4000504200 is an apocalyptic number.

4000504200 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 4000504200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7801643520).

4000504200 is an abundant number, since it is smaller than the sum of its proper divisors (11602782840).

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

4000504200 is a wasteful number, since it uses less digits than its factorization.

4000504200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 4000504200 is about 63249.5391287557. The cubic root of 4000504200 is about 1587.4677464669.

Adding to 4000504200 its reverse (24050004), we get a palindrome (4024554204).

The spelling of 4000504200 in words is "four billion, five hundred four thousand, two hundred".