211420200040 has 192 divisors, whose sum is σ = 561118415040. Its totient is φ = 71477038080.

The previous prime is 211420200037. The next prime is 211420200091. The reversal of 211420200040 is 40002024112.

It is a junction number, because it is equal to n+sod(n) for n = 211420199987 and 211420200023.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47604220 + ... + 47608660.

It is an arithmetic number, because the mean of its divisors is an integer number (2922491745).

Almost surely, 2^211420200040 is an apocalyptic number.

211420200040 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 211420200040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280559207520).

211420200040 is an abundant number, since it is smaller than the sum of its proper divisors (349698215000).

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

211420200040 is a wasteful number, since it uses less digits than its factorization.

211420200040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4800 (or 4789 counting only the distinct ones).

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

Adding to 211420200040 its reverse (40002024112), we get a palindrome (251422224152).

The spelling of 211420200040 in words is "two hundred eleven billion, four hundred twenty million, two hundred thousand, forty".