40002013012120 has 32 divisors (see below), whose sum is σ = 92907901192320. Its totient is φ = 15484650197760.

The previous prime is 40002013012111. The next prime is 40002013012121. The reversal of 40002013012120 is 2121031020004.

40002013012120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×40002013012120³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 40002013012094 and 40002013012103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40002013012121) 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, 16129842717 + ... + 16129845196.

It is an arithmetic number, because the mean of its divisors is an integer number (2903371912260).

Almost surely, 2^{40002013012120} is an apocalyptic number.

40002013012120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40002013012120 is an abundant number, since it is smaller than the sum of its proper divisors (52905888180200).

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

40002013012120 is a wasteful number, since it uses less digits than its factorization.

40002013012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32259687955 (or 32259687951 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 40002013012120 its reverse (2121031020004), we get a palindrome (42123044032124).

The spelling of 40002013012120 in words is "forty trillion, two billion, thirteen million, twelve thousand, one hundred twenty".