211410120042 has 192 divisors, whose sum is σ = 527393438208. Its totient is φ = 62933112000.

The previous prime is 211410120041. The next prime is 211410120049. The reversal of 211410120042 is 240021014112.

211410120042 is a `hidden beast` number, since 2 + 11 + 410 + 1 + 200 + 42 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 211410119997 and 211410120024.

It is not an unprimeable number, because it can be changed into a prime (211410120041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 193775917 + ... + 193777007.

It is an arithmetic number, because the mean of its divisors is an integer number (2746840824).

Almost surely, 2^211410120042 is an apocalyptic number.

211410120042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 211410120042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263696719104).

211410120042 is an abundant number, since it is smaller than the sum of its proper divisors (315983318166).

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

211410120042 is a wasteful number, since it uses less digits than its factorization.

211410120042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211410120042 its reverse (240021014112), we get a palindrome (451431134154).

The spelling of 211410120042 in words is "two hundred eleven billion, four hundred ten million, one hundred twenty thousand, forty-two".