34144144013410 has 16 divisors (see below), whose sum is σ = 61459536312000. Its totient is φ = 13657640474736.

The previous prime is 34144144013383. The next prime is 34144144013431. The reversal of 34144144013410 is 1431044144143.

It is a super-3 number, since 3×34144144013410³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8980891 + ... + 12204289.

It is an arithmetic number, because the mean of its divisors is an integer number (3841221019500).

Almost surely, 2^{34144144013410} is an apocalyptic number.

34144144013410 is a deficient number, since it is larger than the sum of its proper divisors (27315392298590).

34144144013410 is a wasteful number, since it uses less digits than its factorization.

34144144013410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4282665.

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 34144144013410 its reverse (1431044144143), we get a palindrome (35575188157553).

The spelling of 34144144013410 in words is "thirty-four trillion, one hundred forty-four billion, one hundred forty-four million, thirteen thousand, four hundred ten".