22351441440 has 192 divisors, whose sum is σ = 75185832960. Its totient is φ = 5569105920.

The previous prime is 22351441439. The next prime is 22351441447. The reversal of 22351441440 is 4414415322.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22351441398 and 22351441407.

It is not an unprimeable number, because it can be changed into a prime (22351441447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405622 + ... + 457418.

It is an arithmetic number, because the mean of its divisors is an integer number (391592880).

Almost surely, 2^22351441440 is an apocalyptic number.

22351441440 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 22351441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37592916480).

22351441440 is an abundant number, since it is smaller than the sum of its proper divisors (52834391520).

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

22351441440 is a wasteful number, since it uses less digits than its factorization.

22351441440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51875 (or 51867 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 22351441440 its reverse (4414415322), we get a palindrome (26765856762).

The spelling of 22351441440 in words is "twenty-two billion, three hundred fifty-one million, four hundred forty-one thousand, four hundred forty".