4012027200 has 504 divisors, whose sum is σ = 15683496192. Its totient is φ = 1005281280.

The previous prime is 4012027189. The next prime is 4012027211. The reversal of 4012027200 is 27202104.

It is an interprime number because it is at equal distance from previous prime (4012027189) and next prime (4012027211).

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

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, 6609297 + ... + 6609903.

It is an arithmetic number, because the mean of its divisors is an integer number (31118048).

Almost surely, 2^4012027200 is an apocalyptic number.

4012027200 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 4012027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7841748096).

4012027200 is an abundant number, since it is smaller than the sum of its proper divisors (11671468992).

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

4012027200 is a wasteful number, since it uses less digits than its factorization.

4012027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 4012027200 is about 63340.5652011410. The cubic root of 4012027200 is about 1588.9904591822.

Adding to 4012027200 its reverse (27202104), we get a palindrome (4039229304).

The spelling of 4012027200 in words is "four billion, twelve million, twenty-seven thousand, two hundred".