211571703407040 has 224 divisors, whose sum is σ = 675336000835584. Its totient is φ = 56117176995840.

The previous prime is 211571703406993. The next prime is 211571703407047. The reversal of 211571703407040 is 40704307175112.

It is a super-3 number, since 3×211571703407040³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 211571703406983 and 211571703407001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211571703407047) 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, 1684465522 + ... + 1684591118.

Almost surely, 2^{211571703407040} is an apocalyptic number.

211571703407040 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 211571703407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337668000417792).

211571703407040 is an abundant number, since it is smaller than the sum of its proper divisors (463764297428544).

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

211571703407040 is a wasteful number, since it uses less digits than its factorization.

211571703407040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134995 (or 134985 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The spelling of 211571703407040 in words is "two hundred eleven trillion, five hundred seventy-one billion, seven hundred three million, four hundred seven thousand, forty".