3141162641400 has 384 divisors, whose sum is σ = 11241829762560. Its totient is φ = 710691840000.

The previous prime is 3141162641369. The next prime is 3141162641479. The reversal of 3141162641400 is 41462611413.

It is a congruent number.

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, 809367460 + ... + 809371340.

It is an arithmetic number, because the mean of its divisors is an integer number (29275598340).

Almost surely, 2^{3141162641400} is an apocalyptic number.

3141162641400 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 3141162641400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5620914881280).

3141162641400 is an abundant number, since it is smaller than the sum of its proper divisors (8100667121160).

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

3141162641400 is a wasteful number, since it uses less digits than its factorization.

3141162641400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5815 (or 5806 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 3141162641400 in words is "three trillion, one hundred forty-one billion, one hundred sixty-two million, six hundred forty-one thousand, four hundred".