13345011032040 has 384 divisors, whose sum is σ = 45362798208000. Its totient is φ = 3398507642880.

The previous prime is 13345011031903. The next prime is 13345011032051. The reversal of 13345011032040 is 4023011054331.

It is a happy number.

13345011032040 is a `hidden beast` number, since 1 + 3 + 3 + 450 + 1 + 1 + 0 + 3 + 204 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13345011031995 and 13345011032013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 377781819 + ... + 377817141.

It is an arithmetic number, because the mean of its divisors is an integer number (118132287000).

Almost surely, 2^{13345011032040} is an apocalyptic number.

13345011032040 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 13345011032040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22681399104000).

13345011032040 is an abundant number, since it is smaller than the sum of its proper divisors (32017787175960).

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

13345011032040 is a wasteful number, since it uses less digits than its factorization.

13345011032040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35817 (or 35810 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 13345011032040 its reverse (4023011054331), we get a palindrome (17368022086371).

The spelling of 13345011032040 in words is "thirteen trillion, three hundred forty-five billion, eleven million, thirty-two thousand, forty".