10240635631540 has 24 divisors (see below), whose sum is σ = 21508853050440. Its totient is φ = 4095584114688.

The previous prime is 10240635631481. The next prime is 10240635631553. The reversal of 10240635631540 is 4513653604201.

It can be written as a sum of positive squares in 4 ways, for example, as 4615029620644 + 5625606010896 = 2148262^2 + 2371836^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10240635631493 and 10240635631502.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 41758305 + ... + 42002824.

It is an arithmetic number, because the mean of its divisors is an integer number (896202210435).

Almost surely, 2^{10240635631540} is an apocalyptic number.

10240635631540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10240635631540 is an abundant number, since it is smaller than the sum of its proper divisors (11268217418900).

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

10240635631540 is a wasteful number, since it uses less digits than its factorization.

10240635631540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83767251 (or 83767249 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 10240635631540 in words is "ten trillion, two hundred forty billion, six hundred thirty-five million, six hundred thirty-one thousand, five hundred forty".