3340115423040 has 224 divisors, whose sum is σ = 11652180180480. Its totient is φ = 803899238400.

The previous prime is 3340115423027. The next prime is 3340115423111. The reversal of 3340115423040 is 403245110433.

It is a super-2 number, since 2×3340115423040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3340115422989 and 3340115423007.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 330075 + ... + 2605605.

It is an arithmetic number, because the mean of its divisors is an integer number (52018661520).

Almost surely, 2^{3340115423040} is an apocalyptic number.

3340115423040 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 3340115423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5826090090240).

3340115423040 is an abundant number, since it is smaller than the sum of its proper divisors (8312064757440).

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

3340115423040 is a wasteful number, since it uses less digits than its factorization.

3340115423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275701 (or 2275691 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 3340115423040 in words is "three trillion, three hundred forty billion, one hundred fifteen million, four hundred twenty-three thousand, forty".