211982800040 has 384 divisors, whose sum is σ = 570778306560. Its totient is φ = 70120512000.

The previous prime is 211982800033. The next prime is 211982800049. The reversal of 211982800040 is 40008289112.

It is not an unprimeable number, because it can be changed into a prime (211982800049) 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 95 ways as a sum of consecutive naturals, for example, 690497567 + ... + 690497873.

It is an arithmetic number, because the mean of its divisors is an integer number (1486401840).

Almost surely, 2^211982800040 is an apocalyptic number.

211982800040 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 211982800040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285389153280).

211982800040 is an abundant number, since it is smaller than the sum of its proper divisors (358795506520).

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

211982800040 is a wasteful number, since it uses less digits than its factorization.

211982800040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The spelling of 211982800040 in words is "two hundred eleven billion, nine hundred eighty-two million, eight hundred thousand, forty".