211414412400 has 60 divisors (see below), whose sum is σ = 677230838232. Its totient is φ = 56377176320.

The previous prime is 211414412383. The next prime is 211414412413. The reversal of 211414412400 is 4214414112.

211414412400 is digitally balanced in base 2, 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 (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 88088139 + ... + 88090538.

Almost surely, 2^211414412400 is an apocalyptic number.

211414412400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211414412400 is an abundant number, since it is smaller than the sum of its proper divisors (465816425832).

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

211414412400 is a wasteful number, since it uses less digits than its factorization.

211414412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176178698 (or 176178687 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 211414412400 its reverse (4214414112), we get a palindrome (215628826512).

The spelling of 211414412400 in words is "two hundred eleven billion, four hundred fourteen million, four hundred twelve thousand, four hundred".