21141014004 has 54 divisors (see below), whose sum is σ = 58739610930. Its totient is φ = 6406366560.

The previous prime is 21141013981. The next prime is 21141014017. The reversal of 21141014004 is 40041014112.

21141014004 is a `hidden beast` number, since 211 + 410 + 1 + 40 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21140578404 + 435600 = 145398^2 + 660^2 .

It is a super-2 number, since 2×21141014004² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2422299 + ... + 2431010.

Almost surely, 2^21141014004 is an apocalyptic number.

It is an amenable number.

21141014004 is an abundant number, since it is smaller than the sum of its proper divisors (37598596926).

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

21141014004 is a wasteful number, since it uses less digits than its factorization.

21141014004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4853341 (or 4853325 counting only the distinct ones).

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

Adding to 21141014004 its reverse (40041014112), we get a palindrome (61182028116).

The spelling of 21141014004 in words is "twenty-one billion, one hundred forty-one million, fourteen thousand, four".