3340123933140 has 252 divisors, whose sum is σ = 11171605477116. Its totient is φ = 838304557056.

The previous prime is 3340123933103. The next prime is 3340123933141. The reversal of 3340123933140 is 413393210433.

3340123933140 is a `hidden beast` number, since 3 + 3 + 401 + 23 + 93 + 3 + 140 = 666.

3340123933140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1274061636 + 3338849871504 = 35694^2 + 1827252^2 .

It is a super-2 number, since 2×3340123933140² (a number of 26 digits) contains 22 as substring.

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 = 3340123933095 and 3340123933104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3340123933141) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3817272 + ... + 4609968.

Almost surely, 2^{3340123933140} is an apocalyptic number.

3340123933140 is a gapful number since it is divisible by the number (30) 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 3340123933140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5585802738558).

3340123933140 is an abundant number, since it is smaller than the sum of its proper divisors (7831481543976).

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

3340123933140 is a wasteful number, since it uses less digits than its factorization.

3340123933140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792758 (or 792724 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 3340123933140 in words is "three trillion, three hundred forty billion, one hundred twenty-three million, nine hundred thirty-three thousand, one hundred forty".