22319245440 has 320 divisors, whose sum is σ = 81657880920. Its totient is φ = 5806080000.

The previous prime is 22319245439. The next prime is 22319245477. The reversal of 22319245440 is 4454291322.

It is a happy number.

22319245440 is a `hidden beast` number, since 2 + 23 + 1 + 92 + 4 + 544 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9687283776 + 12631961664 = 98424^2 + 112392^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×22319245440³ (a number of 32 digits) contains 333 as substring.

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 = 22319245395 and 22319245404.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2120190 + ... + 2130690.

Almost surely, 2^22319245440 is an apocalyptic number.

22319245440 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 22319245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40828940460).

22319245440 is an abundant number, since it is smaller than the sum of its proper divisors (59338635480).

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

22319245440 is a wasteful number, since it uses less digits than its factorization.

22319245440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10573 (or 10552 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 22319245440 in words is "twenty-two billion, three hundred nineteen million, two hundred forty-five thousand, four hundred forty".