13424355252040 has 32 divisors (see below), whose sum is σ = 30205039508280. Its totient is φ = 5369699400192.

The previous prime is 13424355252037. The next prime is 13424355252043. The reversal of 13424355252040 is 4025255342431.

13424355252040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13424355252037) and next prime (13424355252043).

It can be written as a sum of positive squares in 4 ways, for example, as 8795222274276 + 4629132977764 = 2965674^2 + 2151542^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 13424355251984 and 13424355252002.

It is not an unprimeable number, because it can be changed into a prime (13424355252043) 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, 4024282 + ... + 6560758.

Almost surely, 2^{13424355252040} is an apocalyptic number.

13424355252040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13424355252040 is an abundant number, since it is smaller than the sum of its proper divisors (16780684256240).

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

13424355252040 is a wasteful number, since it uses less digits than its factorization.

13424355252040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2668801 (or 2668797 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 40.

The spelling of 13424355252040 in words is "thirteen trillion, four hundred twenty-four billion, three hundred fifty-five million, two hundred fifty-two thousand, forty".