4012200203040 has 480 divisors, whose sum is σ = 14426526280320. Its totient is φ = 1049883918336.

The previous prime is 4012200203023. The next prime is 4012200203111. The reversal of 4012200203040 is 403020022104.

4012200203040 is a `hidden beast` number, since 401 + 2 + 20 + 0 + 203 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 228359376 + ... + 228376944.

It is an arithmetic number, because the mean of its divisors is an integer number (30055263084).

Almost surely, 2^{4012200203040} is an apocalyptic number.

4012200203040 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 4012200203040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7213263140160).

4012200203040 is an abundant number, since it is smaller than the sum of its proper divisors (10414326077280).

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

4012200203040 is a wasteful number, since it uses less digits than its factorization.

4012200203040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17926 (or 17909 counting only the distinct ones).

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

Adding to 4012200203040 its reverse (403020022104), we get a palindrome (4415220225144).

The spelling of 4012200203040 in words is "four trillion, twelve billion, two hundred million, two hundred three thousand, forty".