3141240238080 has 1664 divisors, whose sum is σ = 13277629347840. Its totient is φ = 698290274304.

The previous prime is 3141240238067. The next prime is 3141240238109. The reversal of 3141240238080 is 808320421413.

It is a happy number.

3141240238080 is a `hidden beast` number, since 3 + 1 + 412 + 4 + 0 + 238 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13481717644 + ... + 13481717876.

It is an arithmetic number, because the mean of its divisors is an integer number (7979344560).

Almost surely, 2^{3141240238080} is an apocalyptic number.

3141240238080 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 3141240238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6638814673920).

3141240238080 is an abundant number, since it is smaller than the sum of its proper divisors (10136389109760).

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

3141240238080 is an frugal number, since it uses more digits than its factorization.

3141240238080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

Adding to 3141240238080 its reverse (808320421413), we get a palindrome (3949560659493).

The spelling of 3141240238080 in words is "three trillion, one hundred forty-one billion, two hundred forty million, two hundred thirty-eight thousand, eighty".