4211300011400 has 48 divisors (see below), whose sum is σ = 9791767036800. Its totient is φ = 1684434927680.

The previous prime is 4211300011333. The next prime is 4211300011447. The reversal of 4211300011400 is 41100031124.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 3514961 + ... + 4558239.

It is an arithmetic number, because the mean of its divisors is an integer number (203995146600).

Almost surely, 2^{4211300011400} is an apocalyptic number.

4211300011400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4211300011400 is an abundant number, since it is smaller than the sum of its proper divisors (5580467025400).

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

4211300011400 is a wasteful number, since it uses less digits than its factorization.

4211300011400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063478 (or 1063469 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 4211300011400 its reverse (41100031124), we get a palindrome (4252400042524).

The spelling of 4211300011400 in words is "four trillion, two hundred eleven billion, three hundred million, eleven thousand, four hundred".