34004411440043 has 16 divisors (see below), whose sum is σ = 37118808220416. Its totient is φ = 30893866547040.

The previous prime is 34004411440037. The next prime is 34004411440067.

34004411440043 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 34004411440043 - 2¹² = 34004411435947 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34004411439991 and 34004411440009.

It is not an unprimeable number, because it can be changed into a prime (34004411440343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173497580 + ... + 173693462.

It is an arithmetic number, because the mean of its divisors is an integer number (2319925513776).

Almost surely, 2^{34004411440043} is an apocalyptic number.

34004411440043 is a deficient number, since it is larger than the sum of its proper divisors (3114396780373).

34004411440043 is a wasteful number, since it uses less digits than its factorization.

34004411440043 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205634.

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 3400441 and 1440043, that added together give a palindrome (4840484).

The spelling of 34004411440043 in words is "thirty-four trillion, four billion, four hundred eleven million, four hundred forty thousand, forty-three".