22325413440 has 224 divisors, whose sum is σ = 81397693440. Its totient is φ = 5127321600.

The previous prime is 22325413433. The next prime is 22325413457. The reversal of 22325413440 is 4431452322.

It is a super-3 number, since 3×22325413440³ (a number of 32 digits) contains 333 as substring.

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 = 22325413398 and 22325413407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145005 + ... + 256275.

It is an arithmetic number, because the mean of its divisors is an integer number (363382560).

Almost surely, 2^22325413440 is an apocalyptic number.

22325413440 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 22325413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40698846720).

22325413440 is an abundant number, since it is smaller than the sum of its proper divisors (59072280000).

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

22325413440 is a wasteful number, since it uses less digits than its factorization.

22325413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111321 (or 111311 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 22325413440 its reverse (4431452322), we get a palindrome (26756865762).

The spelling of 22325413440 in words is "twenty-two billion, three hundred twenty-five million, four hundred thirteen thousand, four hundred forty".