21782922440400 has 900 divisors, whose sum is σ = 86027560126816. Its totient is φ = 5274731404800.

The previous prime is 21782922440311. The next prime is 21782922440473. The reversal of 21782922440400 is 404422928712.

21782922440400 is a `hidden beast` number, since 2 + 1 + 7 + 82 + 92 + 2 + 440 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 4167382587 + ... + 4167387813.

Almost surely, 2^{21782922440400} is an apocalyptic number.

21782922440400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21782922440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43013780063408).

21782922440400 is an abundant number, since it is smaller than the sum of its proper divisors (64244637686416).

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

21782922440400 is a wasteful number, since it uses less digits than its factorization.

21782922440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6342 (or 6311 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 21782922440400 in words is "twenty-one trillion, seven hundred eighty-two billion, nine hundred twenty-two million, four hundred forty thousand, four hundred".