21141414432144 has 60 divisors (see below), whose sum is σ = 59171935492956. Its totient is φ = 7046502333696.

The previous prime is 21141414432143. The next prime is 21141414432157. The reversal of 21141414432144 is 44123441414112.

21141414432144 is a `hidden beast` number, since 2 + 1 + 1 + 41 + 41 + 4 + 432 + 144 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8341190924544 + 12800223507600 = 2888112^2 + 3577740^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21141414432099 and 21141414432108.

It is not an unprimeable number, because it can be changed into a prime (21141414432143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5020087 + ... + 8214870.

Almost surely, 2^{21141414432144} is an apocalyptic number.

21141414432144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21141414432144 is an abundant number, since it is smaller than the sum of its proper divisors (38030521060812).

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

21141414432144 is a wasteful number, since it uses less digits than its factorization.

21141414432144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13246064 (or 13246055 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

Adding to 21141414432144 its reverse (44123441414112), we get a palindrome (65264855846256).

The spelling of 21141414432144 in words is "twenty-one trillion, one hundred forty-one billion, four hundred fourteen million, four hundred thirty-two thousand, one hundred forty-four".