10334433142240 has 48 divisors (see below), whose sum is σ = 25202682126720. Its totient is φ = 4000425730560.

The previous prime is 10334433142237. The next prime is 10334433142261. The reversal of 10334433142240 is 4224133443301.

It is a junction number, because it is equal to n+sod(n) for n = 10334433142196 and 10334433142205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1041772575 + ... + 1041782494.

It is an arithmetic number, because the mean of its divisors is an integer number (525055877640).

Almost surely, 2^{10334433142240} is an apocalyptic number.

10334433142240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10334433142240 is an abundant number, since it is smaller than the sum of its proper divisors (14868248984480).

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

10334433142240 is a wasteful number, since it uses less digits than its factorization.

10334433142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083555115 (or 2083555107 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 10334433142240 its reverse (4224133443301), we get a palindrome (14558566585541).

The spelling of 10334433142240 in words is "ten trillion, three hundred thirty-four billion, four hundred thirty-three million, one hundred forty-two thousand, two hundred forty".