10240145235333 has 72 divisors (see below), whose sum is σ = 16510302327168. Its totient is φ = 6109905424896.

The previous prime is 10240145235319. The next prime is 10240145235377. The reversal of 10240145235333 is 33353254104201.

10240145235333 is a `hidden beast` number, since 1 + 0 + 2 + 40 + 14 + 523 + 53 + 33 = 666.

It is not a de Polignac number, because 10240145235333 - 2¹² = 10240145231237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10240145235533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6979741 + ... + 8318477.

It is an arithmetic number, because the mean of its divisors is an integer number (229309754544).

Almost surely, 2^{10240145235333} is an apocalyptic number.

10240145235333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10240145235333 is a deficient number, since it is larger than the sum of its proper divisors (6270157091835).

10240145235333 is a wasteful number, since it uses less digits than its factorization.

10240145235333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338923 (or 1338907 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 10240145235333 its reverse (33353254104201), we get a palindrome (43593399339534).

The spelling of 10240145235333 in words is "ten trillion, two hundred forty billion, one hundred forty-five million, two hundred thirty-five thousand, three hundred thirty-three".