3431412406144 has 32 divisors (see below), whose sum is σ = 6851804581440. Its totient is φ = 1711743805440.

The previous prime is 3431412406133. The next prime is 3431412406151. The reversal of 3431412406144 is 4416042141343.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×3431412406144² (a number of 26 digits) contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 30900592 + ... + 31011439.

It is an arithmetic number, because the mean of its divisors is an integer number (214118893170).

Almost surely, 2^{3431412406144} is an apocalyptic number.

It is an amenable number.

3431412406144 is a deficient number, since it is larger than the sum of its proper divisors (3420392175296).

3431412406144 is an equidigital number, since it uses as much as digits as its factorization.

3431412406144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61912478 (or 61912466 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

Adding to 3431412406144 its reverse (4416042141343), we get a palindrome (7847454547487).

The spelling of 3431412406144 in words is "three trillion, four hundred thirty-one billion, four hundred twelve million, four hundred six thousand, one hundred forty-four".