34001403114411 has 24 divisors (see below), whose sum is σ = 50972188547280. Its totient is φ = 21814670799936.

The previous prime is 34001403114307. The next prime is 34001403114487. The reversal of 34001403114411 is 11441130410043.

34001403114411 is a `hidden beast` number, since 3 + 400 + 140 + 3 + 114 + 4 + 1 + 1 = 666.

It is not a de Polignac number, because 34001403114411 - 2¹⁴ = 34001403098027 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34001403134411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212091820 + ... + 212252073.

It is an arithmetic number, because the mean of its divisors is an integer number (2123841189470).

Almost surely, 2^{34001403114411} is an apocalyptic number.

34001403114411 is a deficient number, since it is larger than the sum of its proper divisors (16970785432869).

34001403114411 is a wasteful number, since it uses less digits than its factorization.

34001403114411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424344235 (or 424344232 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 34001403114411 its reverse (11441130410043), we get a palindrome (45442533524454).

The spelling of 34001403114411 in words is "thirty-four trillion, one billion, four hundred three million, one hundred fourteen thousand, four hundred eleven".