3410046400144 has 10 divisors (see below), whose sum is σ = 6606964900310. Its totient is φ = 1705023200064.

The previous prime is 3410046400081. The next prime is 3410046400157. The reversal of 3410046400144 is 4410046400143.

It can be written as a sum of positive squares in only one way, i.e., 1973912601600 + 1436133798544 = 1404960^2 + 1198388^2 .

It is a super-2 number, since 2×3410046400144² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106563949989 + ... + 106563950020.

It is an arithmetic number, because the mean of its divisors is an integer number (660696490031).

Almost surely, 2^{3410046400144} is an apocalyptic number.

It is an amenable number.

3410046400144 is a deficient number, since it is larger than the sum of its proper divisors (3196918500166).

3410046400144 is a wasteful number, since it uses less digits than its factorization.

3410046400144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213127900017 (or 213127900011 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Subtracting 3410046400144 from its reverse (4410046400143), we obtain a palindrome (999999999999).

The spelling of 3410046400144 in words is "three trillion, four hundred ten billion, forty-six million, four hundred thousand, one hundred forty-four".