21669301440 has 336 divisors, whose sum is σ = 77751797760. Its totient is φ = 5744286720.

The previous prime is 21669301429. The next prime is 21669301441. The reversal of 21669301440 is 4410396612.

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 = 21669301395 and 21669301404.

It is not an unprimeable number, because it can be changed into a prime (21669301441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14851431 + ... + 14852889.

It is an arithmetic number, because the mean of its divisors is an integer number (231404160).

Almost surely, 2^21669301440 is an apocalyptic number.

21669301440 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 21669301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38875898880).

21669301440 is an abundant number, since it is smaller than the sum of its proper divisors (56082496320).

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

21669301440 is a wasteful number, since it uses less digits than its factorization.

21669301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 21669301440 in words is "twenty-one billion, six hundred sixty-nine million, three hundred one thousand, four hundred forty".