211204020040 has 128 divisors (see below), whose sum is σ = 538916716800. Its totient is φ = 73907665920.

The previous prime is 211204019947. The next prime is 211204020073. The reversal of 211204020040 is 40020402112.

211204020040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 211204019996 and 211204020023.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1222635 + ... + 1384645.

It is an arithmetic number, because the mean of its divisors is an integer number (4210286850).

Almost surely, 2^211204020040 is an apocalyptic number.

211204020040 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 211204020040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269458358400).

211204020040 is an abundant number, since it is smaller than the sum of its proper divisors (327712696760).

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

211204020040 is a wasteful number, since it uses less digits than its factorization.

211204020040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162167 (or 162163 counting only the distinct ones).

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

Adding to 211204020040 its reverse (40020402112), we get a palindrome (251224422152).

The spelling of 211204020040 in words is "two hundred eleven billion, two hundred four million, twenty thousand, forty".