3114129408000 has 960 divisors, whose sum is σ = 11285219033088. Its totient is φ = 758041804800.

The previous prime is 3114129407969. The next prime is 3114129408043. The reversal of 3114129408000 is 8049214113.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

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 63 ways as a sum of consecutive naturals, for example, 10143743847 + ... + 10143744153.

Almost surely, 2^{3114129408000} is an apocalyptic number.

3114129408000 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 3114129408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5642609516544).

3114129408000 is an abundant number, since it is smaller than the sum of its proper divisors (8171089625088).

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

3114129408000 is a wasteful number, since it uses less digits than its factorization.

3114129408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 3114129408000 in words is "three trillion, one hundred fourteen billion, one hundred twenty-nine million, four hundred eight thousand".