21982416040 has 32 divisors (see below), whose sum is σ = 53265086280. Its totient is φ = 8116584192.

The previous prime is 21982416031. The next prime is 21982416059. The reversal of 21982416040 is 4061428912.

It can be written as a sum of positive squares in 4 ways, for example, as 19271547684 + 2710868356 = 138822^2 + 52066^2 .

It is a super-2 number, since 2×21982416040² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21136419 + ... + 21137458.

Almost surely, 2^21982416040 is an apocalyptic number.

21982416040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21982416040 is an abundant number, since it is smaller than the sum of its proper divisors (31282670240).

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

21982416040 is a wasteful number, since it uses less digits than its factorization.

21982416040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42273901 (or 42273897 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 21982416040 in words is "twenty-one billion, nine hundred eighty-two million, four hundred sixteen thousand, forty".