211404013020 has 192 divisors, whose sum is σ = 665013888000. Its totient is φ = 55750816512.

The previous prime is 211404012947. The next prime is 211404013031. The reversal of 211404013020 is 20310404112.

211404013020 is a `hidden beast` number, since 211 + 4 + 0 + 401 + 30 + 20 = 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 = 211404012984 and 211404013002.

It is a congruent number.

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, 19735426 + ... + 19746134.

It is an arithmetic number, because the mean of its divisors is an integer number (3463614000).

Almost surely, 2^211404013020 is an apocalyptic number.

211404013020 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 211404013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332506944000).

211404013020 is an abundant number, since it is smaller than the sum of its proper divisors (453609874980).

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

211404013020 is a wasteful number, since it uses less digits than its factorization.

211404013020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11129 (or 11121 counting only the distinct ones).

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

Adding to 211404013020 its reverse (20310404112), we get a palindrome (231714417132).

The spelling of 211404013020 in words is "two hundred eleven billion, four hundred four million, thirteen thousand, twenty".