10335422042040 has 256 divisors, whose sum is σ = 33444051379200. Its totient is φ = 2546621337600.

The previous prime is 10335422042027. The next prime is 10335422042047. The reversal of 10335422042040 is 4024022453301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10335422041989 and 10335422042007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10335422042047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 361098930 + ... + 361127550.

It is an arithmetic number, because the mean of its divisors is an integer number (130640825700).

Almost surely, 2^{10335422042040} is an apocalyptic number.

10335422042040 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 10335422042040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16722025689600).

10335422042040 is an abundant number, since it is smaller than the sum of its proper divisors (23108629337160).

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

10335422042040 is a wasteful number, since it uses less digits than its factorization.

10335422042040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32558 (or 32554 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 10335422042040 its reverse (4024022453301), we get a palindrome (14359444495341).

The spelling of 10335422042040 in words is "ten trillion, three hundred thirty-five billion, four hundred twenty-two million, forty-two thousand, forty".