3340120014144 has 112 divisors (see below), whose sum is σ = 9825247344640. Its totient is φ = 1112702883840.

The previous prime is 3340120014139. The next prime is 3340120014167. The reversal of 3340120014144 is 4414100210433.

3340120014144 is a `hidden beast` number, since 3 + 3 + 40 + 1 + 200 + 1 + 414 + 4 = 666.

It is a super-2 number, since 2×3340120014144² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2292504 + ... + 3454824.

It is an arithmetic number, because the mean of its divisors is an integer number (87725422720).

Almost surely, 2^{3340120014144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3340120014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4912623672320).

3340120014144 is an abundant number, since it is smaller than the sum of its proper divisors (6485127330496).

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

3340120014144 is a wasteful number, since it uses less digits than its factorization.

3340120014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164005 (or 1163989 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 3340120014144 its reverse (4414100210433), we get a palindrome (7754220224577).

The spelling of 3340120014144 in words is "three trillion, three hundred forty billion, one hundred twenty million, fourteen thousand, one hundred forty-four".