3314351040000 has 1600 divisors, whose sum is σ = 14818526553600. Its totient is φ = 635535360000.

The previous prime is 3314351039959. The next prime is 3314351040019. The reversal of 3314351040000 is 401534133.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 960958276 + ... + 960961724.

It is an arithmetic number, because the mean of its divisors is an integer number (9261579096).

Almost surely, 2^{3314351040000} is an apocalyptic number.

3314351040000 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 3314351040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7409263276800).

3314351040000 is an abundant number, since it is smaller than the sum of its proper divisors (11504175513600).

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

3314351040000 is a wasteful number, since it uses less digits than its factorization.

3314351040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3521 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 3314351040000 its reverse (401534133), we get a palindrome (3314752574133).

The spelling of 3314351040000 in words is "three trillion, three hundred fourteen billion, three hundred fifty-one million, forty thousand".