21722342154240 has 2688 divisors, whose sum is σ = 92009192785920. Its totient is φ = 4275270844416.

The previous prime is 21722342154131. The next prime is 21722342154283. The reversal of 21722342154240 is 4245124322712.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 244071260116 + ... + 244071260204.

Almost surely, 2^{21722342154240} is an apocalyptic number.

21722342154240 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 21722342154240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46004596392960).

21722342154240 is an abundant number, since it is smaller than the sum of its proper divisors (70286850631680).

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

21722342154240 is a wasteful number, since it uses less digits than its factorization.

21722342154240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 39.

Adding to 21722342154240 its reverse (4245124322712), we get a palindrome (25967466476952).

The spelling of 21722342154240 in words is "twenty-one trillion, seven hundred twenty-two billion, three hundred forty-two million, one hundred fifty-four thousand, two hundred forty".