3140123140400 has 60 divisors (see below), whose sum is σ = 7544618415600. Its totient is φ = 1255970576640.

The previous prime is 3140123140387. The next prime is 3140123140417. The reversal of 3140123140400 is 40413210413.

3140123140400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3140123140400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6369986 + ... + 6845214.

It is an arithmetic number, because the mean of its divisors is an integer number (125743640260).

Almost surely, 2^{3140123140400} is an apocalyptic number.

It is an amenable number.

3140123140400 is an abundant number, since it is smaller than the sum of its proper divisors (4404495275200).

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

3140123140400 is a wasteful number, since it uses less digits than its factorization.

3140123140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491766 (or 491755 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 3140123140400 its reverse (40413210413), we get a palindrome (3180536350813).

The spelling of 3140123140400 in words is "three trillion, one hundred forty billion, one hundred twenty-three million, one hundred forty thousand, four hundred".