4211320044100 has 144 divisors (see below), whose sum is σ = 9862150032000. Its totient is φ = 1551695569920.

The previous prime is 4211320044091. The next prime is 4211320044101. The reversal of 4211320044100 is 14400231124.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4211320044101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2006344851 + ... + 2006346949.

It is an arithmetic number, because the mean of its divisors is an integer number (68487153000).

Almost surely, 2^{4211320044100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4211320044100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4931075016000).

4211320044100 is an abundant number, since it is smaller than the sum of its proper divisors (5650829987900).

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

4211320044100 is a wasteful number, since it uses less digits than its factorization.

4211320044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4622 (or 4615 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 4211320044100 its reverse (14400231124), we get a palindrome (4225720275224).

The spelling of 4211320044100 in words is "four trillion, two hundred eleven billion, three hundred twenty million, forty-four thousand, one hundred".