3404124203040 has 576 divisors, whose sum is σ = 12797555202432. Its totient is φ = 817138483200.

The previous prime is 3404124203021. The next prime is 3404124203101. The reversal of 3404124203040 is 403024214043.

It is a happy number.

3404124203040 is a `hidden beast` number, since 3 + 4 + 0 + 412 + 4 + 203 + 0 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3404124202995 and 3404124203013.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 961343670 + ... + 961347210.

It is an arithmetic number, because the mean of its divisors is an integer number (22217977782).

Almost surely, 2^{3404124203040} is an apocalyptic number.

3404124203040 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 3404124203040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6398777601216).

3404124203040 is an abundant number, since it is smaller than the sum of its proper divisors (9393430999392).

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

3404124203040 is a wasteful number, since it uses less digits than its factorization.

3404124203040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4153 (or 4142 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 3404124203040 its reverse (403024214043), we get a palindrome (3807148417083).

The spelling of 3404124203040 in words is "three trillion, four hundred four billion, one hundred twenty-four million, two hundred three thousand, forty".