211332400400 has 120 divisors (see below), whose sum is σ = 555372263424. Its totient is φ = 76641523200.

The previous prime is 211332400399. The next prime is 211332400403. The reversal of 211332400400 is 4004233112.

It is a super-2 number, since 2×211332400400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (211332400403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1576817 + ... + 1705583.

Almost surely, 2^211332400400 is an apocalyptic number.

211332400400 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 211332400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277686131712).

211332400400 is an abundant number, since it is smaller than the sum of its proper divisors (344039863024).

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

211332400400 is a wasteful number, since it uses less digits than its factorization.

211332400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129169 (or 129158 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 211332400400 its reverse (4004233112), we get a palindrome (215336633512).

The spelling of 211332400400 in words is "two hundred eleven billion, three hundred thirty-two million, four hundred thousand, four hundred".