22420353018240 has 512 divisors, whose sum is σ = 80888284800000. Its totient is φ = 5867453988864.

The previous prime is 22420353018229. The next prime is 22420353018359. The reversal of 22420353018240 is 4281035302422.

22420353018240 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 0 + 3 + 530 + 1 + 82 + 40 = 666.

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 = 22420353018195 and 22420353018204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 610674124 + ... + 610710836.

It is an arithmetic number, because the mean of its divisors is an integer number (157984931250).

Almost surely, 2^{22420353018240} is an apocalyptic number.

22420353018240 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 22420353018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40444142400000).

22420353018240 is an abundant number, since it is smaller than the sum of its proper divisors (58467931781760).

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

22420353018240 is a wasteful number, since it uses less digits than its factorization.

22420353018240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37399 (or 37381 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 22420353018240 in words is "twenty-two trillion, four hundred twenty billion, three hundred fifty-three million, eighteen thousand, two hundred forty".