21404743643200 has 84 divisors (see below), whose sum is σ = 52670723776452. Its totient is φ = 8561624934400.

The previous prime is 21404743643197. The next prime is 21404743643209. The reversal of 21404743643200 is 234634740412.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 125934136384 + 21278809506816 = 354872^2 + 4612896^2 .

It is a super-2 number, since 2×21404743643200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (21404743643209) 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 11 ways as a sum of consecutive naturals, for example, 54455370 + ... + 54847030.

Almost surely, 2^{21404743643200} is an apocalyptic number.

21404743643200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21404743643200 is an abundant number, since it is smaller than the sum of its proper divisors (31265980133252).

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

21404743643200 is a wasteful number, since it uses less digits than its factorization.

21404743643200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425840 (or 425825 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 40.

The spelling of 21404743643200 in words is "twenty-one trillion, four hundred four billion, seven hundred forty-three million, six hundred forty-three thousand, two hundred".