22226310091440 has 720 divisors, whose sum is σ = 93543090001920. Its totient is φ = 4630132316160.

The previous prime is 22226310091423. The next prime is 22226310091457. The reversal of 22226310091440 is 4419001362222.

It is a happy number.

22226310091440 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 631 + 0 + 0 + 9 + 14 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22226310091423) and next prime (22226310091457).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×22226310091440² (a number of 27 digits) contains 22 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 = 22226310091395 and 22226310091404.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 67123885 + ... + 67454195.

It is an arithmetic number, because the mean of its divisors is an integer number (129920958336).

Almost surely, 2^{22226310091440} is an apocalyptic number.

22226310091440 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 22226310091440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46771545000960).

22226310091440 is an abundant number, since it is smaller than the sum of its proper divisors (71316779910480).

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

22226310091440 is a wasteful number, since it uses less digits than its factorization.

22226310091440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330442 (or 330420 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 22226310091440 in words is "twenty-two trillion, two hundred twenty-six billion, three hundred ten million, ninety-one thousand, four hundred forty".