20130412013040 has 240 divisors, whose sum is σ = 76862892058272. Its totient is φ = 4330575986688.

The previous prime is 20130412013039. The next prime is 20130412013051. The reversal of 20130412013040 is 4031021403102.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 20130412012998 and 20130412013016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50146249 + ... + 50546088.

Almost surely, 2^{20130412013040} is an apocalyptic number.

20130412013040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20130412013040 is an abundant number, since it is smaller than the sum of its proper divisors (56732480045232).

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

20130412013040 is a wasteful number, since it uses less digits than its factorization.

20130412013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100692384 (or 100692371 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 20130412013040 its reverse (4031021403102), we get a palindrome (24161433416142).

The spelling of 20130412013040 in words is "twenty trillion, one hundred thirty billion, four hundred twelve million, thirteen thousand, forty".