22226077440 has 864 divisors, whose sum is σ = 96240807936. Its totient is φ = 4618321920.

The previous prime is 22226077429. The next prime is 22226077451. The reversal of 22226077440 is 4477062222.

22226077440 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 607 + 7 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (22226077429) and next prime (22226077451).

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 = 22226077395 and 22226077404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42497019 + ... + 42497541.

It is an arithmetic number, because the mean of its divisors is an integer number (111389824).

Almost surely, 2^22226077440 is an apocalyptic number.

22226077440 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 22226077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48120403968).

22226077440 is an abundant number, since it is smaller than the sum of its proper divisors (74014730496).

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

22226077440 is a wasteful number, since it uses less digits than its factorization.

22226077440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 22226077440 in words is "twenty-two billion, two hundred twenty-six million, seventy-seven thousand, four hundred forty".