21167733440 has 168 divisors, whose sum is σ = 59513266800. Its totient is φ = 7148832768.

The previous prime is 21167733409. The next prime is 21167733463. The reversal of 21167733440 is 4433776112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21167733394 and 21167733403.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1040486 + ... + 1060634.

Almost surely, 2^21167733440 is an apocalyptic number.

21167733440 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 21167733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29756633400).

21167733440 is an abundant number, since it is smaller than the sum of its proper divisors (38345533360).

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

21167733440 is a wasteful number, since it uses less digits than its factorization.

21167733440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20247 (or 20230 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 38.

The spelling of 21167733440 in words is "twenty-one billion, one hundred sixty-seven million, seven hundred thirty-three thousand, four hundred forty".