10442023502540 has 288 divisors, whose sum is σ = 28329099998976. Its totient is φ = 3208695275520.

The previous prime is 10442023502507. The next prime is 10442023502609. The reversal of 10442023502540 is 4520532024401.

It is a junction number, because it is equal to n+sod(n) for n = 10442023502497 and 10442023502506.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28791530 + ... + 29151950.

It is an arithmetic number, because the mean of its divisors is an integer number (98364930552).

Almost surely, 2^{10442023502540} is an apocalyptic number.

10442023502540 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 10442023502540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14164549999488).

10442023502540 is an abundant number, since it is smaller than the sum of its proper divisors (17887076496436).

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

10442023502540 is a wasteful number, since it uses less digits than its factorization.

10442023502540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360545 (or 360536 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 10442023502540 its reverse (4520532024401), we get a palindrome (14962555526941).

The spelling of 10442023502540 in words is "ten trillion, four hundred forty-two billion, twenty-three million, five hundred two thousand, five hundred forty".