21211411104 has 72 divisors (see below), whose sum is σ = 64959957972. Its totient is φ = 6526586880.

The previous prime is 21211411079. The next prime is 21211411127. The reversal of 21211411104 is 40111411212.

It can be written as a sum of positive squares in 2 ways, for example, as 18131161104 + 3080250000 = 134652^2 + 55500^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×21211411104² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2828977 + ... + 2836464.

Almost surely, 2^21211411104 is an apocalyptic number.

21211411104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21211411104 is an abundant number, since it is smaller than the sum of its proper divisors (43748546868).

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

21211411104 is a wasteful number, since it uses less digits than its factorization.

21211411104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5665470 (or 5665459 counting only the distinct ones).

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

Adding to 21211411104 its reverse (40111411212), we get a palindrome (61322822316).

The spelling of 21211411104 in words is "twenty-one billion, two hundred eleven million, four hundred eleven thousand, one hundred four".