211142010420 has 384 divisors, whose sum is σ = 784931212800. Its totient is φ = 46513152000.

The previous prime is 211142010367. The next prime is 211142010433. The reversal of 211142010420 is 24010241112.

211142010420 is a `hidden beast` number, since 211 + 1 + 4 + 20 + 10 + 420 = 666.

It is a super-3 number, since 3×211142010420³ (a number of 35 digits) contains 333 as substring.

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 = 211142010393 and 211142010402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2892370 + ... + 2964470.

It is an arithmetic number, because the mean of its divisors is an integer number (2044091700).

Almost surely, 2^211142010420 is an apocalyptic number.

211142010420 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 211142010420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392465606400).

211142010420 is an abundant number, since it is smaller than the sum of its proper divisors (573789202380).

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

211142010420 is a wasteful number, since it uses less digits than its factorization.

211142010420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72176 (or 72168 counting only the distinct ones).

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

Adding to 211142010420 its reverse (24010241112), we get a palindrome (235152251532).

The spelling of 211142010420 in words is "two hundred eleven billion, one hundred forty-two million, ten thousand, four hundred twenty".