211445414400 has 480 divisors, whose sum is σ = 764570492928. Its totient is φ = 51086540800.

The previous prime is 211445414387. The next prime is 211445414419. The reversal of 211445414400 is 4414544112.

211445414400 is digitally balanced in base 7, 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 (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161778547 + ... + 161779853.

Almost surely, 2^211445414400 is an apocalyptic number.

211445414400 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 211445414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382285246464).

211445414400 is an abundant number, since it is smaller than the sum of its proper divisors (553125078528).

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

211445414400 is a wasteful number, since it uses less digits than its factorization.

211445414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 211445414400 its reverse (4414544112), we get a palindrome (215859958512).

The spelling of 211445414400 in words is "two hundred eleven billion, four hundred forty-five million, four hundred fourteen thousand, four hundred".