10222410302040 has 256 divisors, whose sum is σ = 31655473920000. Its totient is φ = 2639678865408.

The previous prime is 10222410302029. The next prime is 10222410302057. The reversal of 10222410302040 is 4020301422201.

It is a junction number, because it is equal to n+sod(n) for n = 10222410301998 and 10222410302016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 242164456 + ... + 242206664.

It is an arithmetic number, because the mean of its divisors is an integer number (123654195000).

Almost surely, 2^{10222410302040} is an apocalyptic number.

10222410302040 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 10222410302040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15827736960000).

10222410302040 is an abundant number, since it is smaller than the sum of its proper divisors (21433063617960).

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

10222410302040 is a wasteful number, since it uses less digits than its factorization.

10222410302040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42794 (or 42790 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10222410302040 its reverse (4020301422201), we get a palindrome (14242711724241).

The spelling of 10222410302040 in words is "ten trillion, two hundred twenty-two billion, four hundred ten million, three hundred two thousand, forty".