211051244040 has 256 divisors, whose sum is σ = 780550041600. Its totient is φ = 44456131584.

The previous prime is 211051244039. The next prime is 211051244087. The reversal of 211051244040 is 40442150112.

It is a super-2 number, since 2×211051244040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 211051244040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6743869 + ... + 6775091.

It is an arithmetic number, because the mean of its divisors is an integer number (3049023600).

Almost surely, 2^211051244040 is an apocalyptic number.

211051244040 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 211051244040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390275020800).

211051244040 is an abundant number, since it is smaller than the sum of its proper divisors (569498797560).

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

211051244040 is a wasteful number, since it uses less digits than its factorization.

211051244040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31876 (or 31872 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 211051244040 its reverse (40442150112), we get a palindrome (251493394152).

The spelling of 211051244040 in words is "two hundred eleven billion, fifty-one million, two hundred forty-four thousand, forty".