3145523143040 has 256 divisors, whose sum is σ = 8172638208000. Its totient is φ = 1153139834880.

The previous prime is 3145523143039. The next prime is 3145523143051. The reversal of 3145523143040 is 403413255413.

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 31 ways as a sum of consecutive naturals, for example, 101745185 + ... + 101776095.

It is an arithmetic number, because the mean of its divisors is an integer number (31924368000).

Almost surely, 2^{3145523143040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3145523143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4086319104000).

3145523143040 is an abundant number, since it is smaller than the sum of its proper divisors (5027115064960).

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

3145523143040 is a wasteful number, since it uses less digits than its factorization.

3145523143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31193 (or 31181 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 3145523143040 its reverse (403413255413), we get a palindrome (3548936398453).

The spelling of 3145523143040 in words is "three trillion, one hundred forty-five billion, five hundred twenty-three million, one hundred forty-three thousand, forty".