21850671440 has 80 divisors (see below), whose sum is σ = 54734778000. Its totient is φ = 8064393216.

The previous prime is 21850671389. The next prime is 21850671457. The reversal of 21850671440 is 4417605812.

It can be written as a sum of positive squares in 8 ways, for example, as 1296288016 + 20554383424 = 36004^2 + 143368^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 21850671394 and 21850671403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4208366 + ... + 4213554.

It is an arithmetic number, because the mean of its divisors is an integer number (684184725).

Almost surely, 2^21850671440 is an apocalyptic number.

21850671440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21850671440 is an abundant number, since it is smaller than the sum of its proper divisors (32884106560).

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

21850671440 is a wasteful number, since it uses less digits than its factorization.

21850671440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9264 (or 9258 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The spelling of 21850671440 in words is "twenty-one billion, eight hundred fifty million, six hundred seventy-one thousand, four hundred forty".