211104340314400 has 288 divisors, whose sum is σ = 579345819525648. Its totient is φ = 74596283596800.

The previous prime is 211104340314377. The next prime is 211104340314409. The reversal of 211104340314400 is 4413043401112.

It can be written as a sum of positive squares in 24 ways, for example, as 4110399417744 + 206993940896656 = 2027412^2 + 14387284^2 .

It is not an unprimeable number, because it can be changed into a prime (211104340314409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18976014 + ... + 27969586.

Almost surely, 2^{211104340314400} is an apocalyptic number.

211104340314400 is a gapful number since it is divisible by the number (20) 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 211104340314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289672909762824).

211104340314400 is an abundant number, since it is smaller than the sum of its proper divisors (368241479211248).

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

211104340314400 is a wasteful number, since it uses less digits than its factorization.

211104340314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8993704 (or 8993691 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 211104340314400 its reverse (4413043401112), we get a palindrome (215517383715512).

The spelling of 211104340314400 in words is "two hundred eleven trillion, one hundred four billion, three hundred forty million, three hundred fourteen thousand, four hundred".