10223220047040 has 3584 divisors, whose sum is σ = 52949220065280. Its totient is φ = 1785220300800.

The previous prime is 10223220047011. The next prime is 10223220047077. The reversal of 10223220047040 is 4074002232201.

10223220047040 is a `hidden beast` number, since 102 + 2 + 32 + 20 + 0 + 470 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10223220046995 and 10223220047013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 4557832159 + ... + 4557834401.

It is an arithmetic number, because the mean of its divisors is an integer number (14773777920).

Almost surely, 2^{10223220047040} is an apocalyptic number.

10223220047040 is a gapful number since it is divisible by the number (10) 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 10223220047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26474610032640).

10223220047040 is an abundant number, since it is smaller than the sum of its proper divisors (42726000018240).

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

10223220047040 is a wasteful number, since it uses less digits than its factorization.

10223220047040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2348 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 10223220047040 its reverse (4074002232201), we get a palindrome (14297222279241).

The spelling of 10223220047040 in words is "ten trillion, two hundred twenty-three billion, two hundred twenty million, forty-seven thousand, forty".