3340122510400 has 672 divisors, whose sum is σ = 9472799952000. Its totient is φ = 1149006643200.

The previous prime is 3340122510337. The next prime is 3340122510421. The reversal of 3340122510400 is 40152210433.

It is a super-2 number, since 2×3340122510400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7713908584 + ... + 7713909016.

It is an arithmetic number, because the mean of its divisors is an integer number (14096428500).

Almost surely, 2^{3340122510400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3340122510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4736399976000).

3340122510400 is an abundant number, since it is smaller than the sum of its proper divisors (6132677441600).

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

3340122510400 is a wasteful number, since it uses less digits than its factorization.

3340122510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 3340122510400 its reverse (40152210433), we get a palindrome (3380274720833).

The spelling of 3340122510400 in words is "three trillion, three hundred forty billion, one hundred twenty-two million, five hundred ten thousand, four hundred".