13342335431040 has 1024 divisors, whose sum is σ = 61475836723200. Its totient is φ = 2651886673920.

The previous prime is 13342335430913. The next prime is 13342335431071. The reversal of 13342335431040 is 4013453324331.

13342335431040 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 2 + 3 + 3 + 543 + 104 + 0 = 666.

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 = 13342335430986 and 13342335431004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30384889 + ... + 30820871.

It is an arithmetic number, because the mean of its divisors is an integer number (60034996800).

Almost surely, 2^{13342335431040} is an apocalyptic number.

13342335431040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13342335431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30737918361600).

13342335431040 is an abundant number, since it is smaller than the sum of its proper divisors (48133501292160).

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

13342335431040 is a wasteful number, since it uses less digits than its factorization.

13342335431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436052 (or 436034 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 13342335431040 its reverse (4013453324331), we get a palindrome (17355788755371).

The spelling of 13342335431040 in words is "thirteen trillion, three hundred forty-two billion, three hundred thirty-five million, four hundred thirty-one thousand, forty".