211411042000 has 160 divisors (see below), whose sum is σ = 522606015360. Its totient is φ = 82691481600.

The previous prime is 211411041997. The next prime is 211411042009. The reversal of 211411042000 is 240114112.

It is a happy number.

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 (211411042009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22769359 + ... + 22778641.

It is an arithmetic number, because the mean of its divisors is an integer number (3266287596).

Almost surely, 2^211411042000 is an apocalyptic number.

211411042000 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 211411042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261303007680).

211411042000 is an abundant number, since it is smaller than the sum of its proper divisors (311194973360).

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

211411042000 is a wasteful number, since it uses less digits than its factorization.

211411042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9558 (or 9542 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211411042000 its reverse (240114112), we get a palindrome (211651156112).

The spelling of 211411042000 in words is "two hundred eleven billion, four hundred eleven million, forty-two thousand".