211421042040 has 192 divisors, whose sum is σ = 707422716000. Its totient is φ = 50247235584.

The previous prime is 211421041963. The next prime is 211421042059. The reversal of 211421042040 is 40240124112.

211421042040 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 = 211421041998 and 211421042016.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1231386 + ... + 1392534.

Almost surely, 2^211421042040 is an apocalyptic number.

211421042040 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 211421042040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353711358000).

211421042040 is an abundant number, since it is smaller than the sum of its proper divisors (496001673960).

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

211421042040 is a wasteful number, since it uses less digits than its factorization.

211421042040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161234 (or 161201 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 211421042040 its reverse (40240124112), we get a palindrome (251661166152).

The spelling of 211421042040 in words is "two hundred eleven billion, four hundred twenty-one million, forty-two thousand, forty".