211142401400 has 144 divisors (see below), whose sum is σ = 571477485600. Its totient is φ = 72338004480.

The previous prime is 211142401387. The next prime is 211142401433. The reversal of 211142401400 is 4104241112.

It is a super-2 number, since 2×211142401400² (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 a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 14565356 + ... + 14579844.

It is an arithmetic number, because the mean of its divisors is an integer number (3968593650).

Almost surely, 2^211142401400 is an apocalyptic number.

211142401400 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 211142401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285738742800).

211142401400 is an abundant number, since it is smaller than the sum of its proper divisors (360335084200).

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

211142401400 is a wasteful number, since it uses less digits than its factorization.

211142401400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16006 (or 15990 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 211142401400 its reverse (4104241112), we get a palindrome (215246642512).

The spelling of 211142401400 in words is "two hundred eleven billion, one hundred forty-two million, four hundred one thousand, four hundred".