3161410560000 has 2940 divisors, whose sum is σ = 14880113883096. Its totient is φ = 656916480000.

The previous prime is 3161410559977. The next prime is 3161410560023. The reversal of 3161410560000 is 650141613.

3161410560000 is a `hidden beast` number, since 3 + 1 + 61 + 41 + 0 + 560 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3161410559977) and next prime (3161410560023).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 209 ways as a sum of consecutive naturals, for example, 287400959995 + ... + 287400960005.

Almost surely, 2^{3161410560000} is an apocalyptic number.

3161410560000 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 3161410560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7440056941548).

3161410560000 is an abundant number, since it is smaller than the sum of its proper divisors (11718703323096).

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

3161410560000 is an frugal number, since it uses more digits than its factorization.

3161410560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 3161410560000 in words is "three trillion, one hundred sixty-one billion, four hundred ten million, five hundred sixty thousand".