3123413123040 has 360 divisors, whose sum is σ = 12822728981832. Its totient is φ = 713922854400.

The previous prime is 3123413123021. The next prime is 3123413123071. The reversal of 3123413123040 is 403213143213.

It is a happy number.

3123413123040 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 41 + 312 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×3123413123040³ (a number of 38 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3123413122995 and 3123413123013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1824186 + ... + 3094265.

Almost surely, 2^{3123413123040} is an apocalyptic number.

3123413123040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3123413123040 is an abundant number, since it is smaller than the sum of its proper divisors (9699315858792).

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

3123413123040 is a wasteful number, since it uses less digits than its factorization.

3123413123040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4918492 (or 4918468 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 3123413123040 its reverse (403213143213), we get a palindrome (3526626266253).

The spelling of 3123413123040 in words is "three trillion, one hundred twenty-three billion, four hundred thirteen million, one hundred twenty-three thousand, forty".