21011400411012 has 72 divisors (see below), whose sum is σ = 57955792108032. Its totient is φ = 6365413704000.

The previous prime is 21011400411011. The next prime is 21011400411031.

21011400411012 is a `hidden beast` number, since 2 + 101 + 140 + 0 + 411 + 0 + 12 = 666.

21011400411012 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (21011400411011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5483364 + ... + 8490587.

It is an arithmetic number, because the mean of its divisors is an integer number (804941557056).

Almost surely, 2^{21011400411012} is an apocalyptic number.

21011400411012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21011400411012 is an abundant number, since it is smaller than the sum of its proper divisors (36944391697020).

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

21011400411012 is a wasteful number, since it uses less digits than its factorization.

21011400411012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13977769 (or 13977764 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 21011400 and 411012, that added together give a palindrome (21422412).

The spelling of 21011400411012 in words is "twenty-one trillion, eleven billion, four hundred million, four hundred eleven thousand, twelve".