10135640352440 has 32 divisors (see below), whose sum is σ = 22805284769280. Its totient is φ = 4054239434112.

The previous prime is 10135640352437. The next prime is 10135640352449. The reversal of 10135640352440 is 4425304653101.

It is a junction number, because it is equal to n+sod(n) for n = 10135640352394 and 10135640352403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10135640352449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15012617 + ... + 15673223.

It is an arithmetic number, because the mean of its divisors is an integer number (712665149040).

Almost surely, 2^{10135640352440} is an apocalyptic number.

10135640352440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10135640352440 is an abundant number, since it is smaller than the sum of its proper divisors (12669644416840).

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

10135640352440 is a wasteful number, since it uses less digits than its factorization.

10135640352440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044191 (or 1044187 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The spelling of 10135640352440 in words is "ten trillion, one hundred thirty-five billion, six hundred forty million, three hundred fifty-two thousand, four hundred forty".