10220331144040 has 128 divisors (see below), whose sum is σ = 23568908256000. Its totient is φ = 3987191070720.

The previous prime is 10220331144011. The next prime is 10220331144053. The reversal of 10220331144040 is 4044113302201.

It is a junction number, because it is equal to n+sod(n) for n = 10220331143996 and 10220331144014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 486417135 + ... + 486438145.

It is an arithmetic number, because the mean of its divisors is an integer number (184132095750).

Almost surely, 2^{10220331144040} is an apocalyptic number.

10220331144040 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 10220331144040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11784454128000).

10220331144040 is an abundant number, since it is smaller than the sum of its proper divisors (13348577111960).

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

10220331144040 is a wasteful number, since it uses less digits than its factorization.

10220331144040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22427 (or 22423 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 10220331144040 its reverse (4044113302201), we get a palindrome (14264444446241).

The spelling of 10220331144040 in words is "ten trillion, two hundred twenty billion, three hundred thirty-one million, one hundred forty-four thousand, forty".