211001342040 has 192 divisors, whose sum is σ = 712723808160. Its totient is φ = 56142720000.

The previous prime is 211001342017. The next prime is 211001342087. The reversal of 211001342040 is 40243100112.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 4418290 + ... + 4465790.

Almost surely, 2^211001342040 is an apocalyptic number.

211001342040 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 211001342040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356361904080).

211001342040 is an abundant number, since it is smaller than the sum of its proper divisors (501722466120).

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

211001342040 is a wasteful number, since it uses less digits than its factorization.

211001342040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47984 (or 47968 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 211001342040 its reverse (40243100112), we get a palindrome (251244442152).

The spelling of 211001342040 in words is "two hundred eleven billion, one million, three hundred forty-two thousand, forty".