4001412020200 has 144 divisors (see below), whose sum is σ = 10823836248000. Its totient is φ = 1371703536000.

The previous prime is 4001412020191. The next prime is 4001412020231. The reversal of 4001412020200 is 20202141004.

It is a super-2 number, since 2×4001412020200² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72992401 + ... + 73047199.

It is an arithmetic number, because the mean of its divisors is an integer number (75165529500).

Almost surely, 2^{4001412020200} is an apocalyptic number.

4001412020200 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 4001412020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5411918124000).

4001412020200 is an abundant number, since it is smaller than the sum of its proper divisors (6822424227800).

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

4001412020200 is a wasteful number, since it uses less digits than its factorization.

4001412020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62280 (or 62264 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 4001412020200 its reverse (20202141004), we get a palindrome (4021614161204).

The spelling of 4001412020200 in words is "four trillion, one billion, four hundred twelve million, twenty thousand, two hundred".