3140467625040 has 320 divisors, whose sum is σ = 10006870947840. Its totient is φ = 814482155520.

The previous prime is 3140467625039. The next prime is 3140467625089. The reversal of 3140467625040 is 405267640413.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3140467624983 and 3140467625001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 535091226 + ... + 535097094.

It is an arithmetic number, because the mean of its divisors is an integer number (31271471712).

Almost surely, 2^{3140467625040} is an apocalyptic number.

3140467625040 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 3140467625040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5003435473920).

3140467625040 is an abundant number, since it is smaller than the sum of its proper divisors (6866403322800).

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

3140467625040 is a wasteful number, since it uses less digits than its factorization.

3140467625040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6370 (or 6364 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 3140467625040 in words is "three trillion, one hundred forty billion, four hundred sixty-seven million, six hundred twenty-five thousand, forty".