211131201040 has 80 divisors (see below), whose sum is σ = 499102399152. Its totient is φ = 83048988672.

The previous prime is 211131201037. The next prime is 211131201053. The reversal of 211131201040 is 40102131112.

It can be written as a sum of positive squares in 8 ways, for example, as 52000417296 + 159130783744 = 228036^2 + 398912^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1131672 + ... + 1304968.

Almost surely, 2^211131201040 is an apocalyptic number.

211131201040 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 211131201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249551199576).

211131201040 is an abundant number, since it is smaller than the sum of its proper divisors (287971198112).

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

211131201040 is a wasteful number, since it uses less digits than its factorization.

211131201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173564 (or 173558 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 211131201040 its reverse (40102131112), we get a palindrome (251233332152).

The spelling of 211131201040 in words is "two hundred eleven billion, one hundred thirty-one million, two hundred one thousand, forty".