211420200400 has 60 divisors (see below), whose sum is σ = 508727599072. Its totient is φ = 84436456320.

The previous prime is 211420200337. The next prime is 211420200401. The reversal of 211420200400 is 4002024112.

It is a super-2 number, since 2×211420200400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211420200401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153804 + ... + 668203.

Almost surely, 2^211420200400 is an apocalyptic number.

211420200400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211420200400 is an abundant number, since it is smaller than the sum of its proper divisors (297307398672).

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

211420200400 is a wasteful number, since it uses less digits than its factorization.

211420200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822668 (or 822657 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 211420200400 its reverse (4002024112), we get a palindrome (215422224512).

The spelling of 211420200400 in words is "two hundred eleven billion, four hundred twenty million, two hundred thousand, four hundred".