3404300243040 has 144 divisors (see below), whose sum is σ = 11623556101248. Its totient is φ = 907314720768.

The previous prime is 3404300243017. The next prime is 3404300243053. The reversal of 3404300243040 is 403420034043.

3404300243040 is a `hidden beast` number, since 34 + 0 + 4 + 300 + 24 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 3404300242995 and 3404300243013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1976712 + ... + 3273528.

It is an arithmetic number, because the mean of its divisors is an integer number (80719139592).

Almost surely, 2^{3404300243040} is an apocalyptic number.

3404300243040 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 3404300243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5811778050624).

3404300243040 is an abundant number, since it is smaller than the sum of its proper divisors (8219255858208).

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

3404300243040 is a wasteful number, since it uses less digits than its factorization.

3404300243040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298661 (or 1298650 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 3404300243040 its reverse (403420034043), we get a palindrome (3807720277083).

The spelling of 3404300243040 in words is "three trillion, four hundred four billion, three hundred million, two hundred forty-three thousand, forty".