21094194240 has 1008 divisors, whose sum is σ = 90306582912. Its totient is φ = 4496228352.

The previous prime is 21094194161. The next prime is 21094194271. The reversal of 21094194240 is 4249149012.

21094194240 is a `hidden beast` number, since 210 + 9 + 4 + 19 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a junction number, because it is equal to n+sod(n) for n = 21094194195 and 21094194204.

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 143 ways as a sum of consecutive naturals, for example, 217465872 + ... + 217465968.

It is an arithmetic number, because the mean of its divisors is an integer number (89589864).

Almost surely, 2^21094194240 is an apocalyptic number.

21094194240 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 21094194240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45153291456).

21094194240 is an abundant number, since it is smaller than the sum of its proper divisors (69212388672).

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

21094194240 is a wasteful number, since it uses less digits than its factorization.

21094194240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 21094194240 in words is "twenty-one billion, ninety-four million, one hundred ninety-four thousand, two hundred forty".