34144144000010 has 32 divisors (see below), whose sum is σ = 67205938633344. Its totient is φ = 12386560536000.

The previous prime is 34144143999941. The next prime is 34144144000033. The reversal of 34144144000010 is 1000044144143.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 368601326 + ... + 368693945.

It is an arithmetic number, because the mean of its divisors is an integer number (2100185582292).

Almost surely, 2^{34144144000010} is an apocalyptic number.

34144144000010 is a deficient number, since it is larger than the sum of its proper divisors (33061794633334).

34144144000010 is a wasteful number, since it uses less digits than its factorization.

34144144000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737295710.

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 34144144000010 its reverse (1000044144143), we get a palindrome (35144188144153).

The spelling of 34144144000010 in words is "thirty-four trillion, one hundred forty-four billion, one hundred forty-four million, ten", and thus it is an aban number.