3141431214400 has 84 divisors (see below), whose sum is σ = 7732580440320. Its totient is φ = 1256134182400.

The previous prime is 3141431214377. The next prime is 3141431214401. The reversal of 3141431214400 is 44121341413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3141431214401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4265415 + ... + 4947385.

Almost surely, 2^{3141431214400} 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 3141431214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3866290220160).

3141431214400 is an abundant number, since it is smaller than the sum of its proper divisors (4591149225920).

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

3141431214400 is a wasteful number, since it uses less digits than its factorization.

3141431214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684872 (or 684857 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 3141431214400 its reverse (44121341413), we get a palindrome (3185552555813).

The spelling of 3141431214400 in words is "three trillion, one hundred forty-one billion, four hundred thirty-one million, two hundred fourteen thousand, four hundred".