4206011896800 has 1440 divisors, whose sum is σ = 18628875175680. Its totient is φ = 902065766400.

The previous prime is 4206011896703. The next prime is 4206011896811. The reversal of 4206011896800 is 86981106024.

4206011896800 is a `hidden beast` number, since 4 + 20 + 601 + 18 + 9 + 6 + 8 + 0 + 0 = 666.

4206011896800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 922166520 + ... + 922171080.

It is an arithmetic number, because the mean of its divisors is an integer number (12936718872).

Almost surely, 2^{4206011896800} is an apocalyptic number.

4206011896800 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 4206011896800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9314437587840).

4206011896800 is an abundant number, since it is smaller than the sum of its proper divisors (14422863278880).

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

4206011896800 is a wasteful number, since it uses less digits than its factorization.

4206011896800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4726 (or 4704 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 4206011896800 in words is "four trillion, two hundred six billion, eleven million, eight hundred ninety-six thousand, eight hundred".