3142412444160 has 1600 divisors, whose sum is σ = 13347174297600. Its totient is φ = 698123059200.

The previous prime is 3142412444159. The next prime is 3142412444209. The reversal of 3142412444160 is 614442142413.

3142412444160 is a `hidden beast` number, since 3 + 1 + 42 + 4 + 12 + 444 + 160 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1343484271 + ... + 1343486609.

It is an arithmetic number, because the mean of its divisors is an integer number (8341983936).

Almost surely, 2^{3142412444160} is an apocalyptic number.

3142412444160 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 3142412444160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6673587148800).

3142412444160 is an abundant number, since it is smaller than the sum of its proper divisors (10204761853440).

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

3142412444160 is a wasteful number, since it uses less digits than its factorization.

3142412444160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2435 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 3142412444160 its reverse (614442142413), we get a palindrome (3756854586573).

The spelling of 3142412444160 in words is "three trillion, one hundred forty-two billion, four hundred twelve million, four hundred forty-four thousand, one hundred sixty".