13405323335040 has 384 divisors, whose sum is σ = 56972626401600. Its totient is φ = 2828375801856.

The previous prime is 13405323335021. The next prime is 13405323335101. The reversal of 13405323335040 is 4053332350431.

13405323335040 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 532 + 3 + 33 + 50 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13405323334986 and 13405323335004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12263275 + ... + 13311594.

Almost surely, 2^{13405323335040} is an apocalyptic number.

13405323335040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13405323335040 is an abundant number, since it is smaller than the sum of its proper divisors (43567303066560).

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

13405323335040 is a wasteful number, since it uses less digits than its factorization.

13405323335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25574914 (or 25574899 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 36.

Adding to 13405323335040 its reverse (4053332350431), we get a palindrome (17458655685471).

The spelling of 13405323335040 in words is "thirteen trillion, four hundred five billion, three hundred twenty-three million, three hundred thirty-five thousand, forty".