34005455010241 has 32 divisors (see below), whose sum is σ = 40049581114368. Its totient is φ = 28465316792640.

The previous prime is 34005455010239. The next prime is 34005455010259. The reversal of 34005455010241 is 14201055450043.

It is not a de Polignac number, because 34005455010241 - 2¹ = 34005455010239 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34005455010197 and 34005455010206.

It is not an unprimeable number, because it can be changed into a prime (34005455010211) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 120554130 + ... + 120835876.

It is an arithmetic number, because the mean of its divisors is an integer number (1251549409824).

Almost surely, 2^{34005455010241} is an apocalyptic number.

It is an amenable number.

34005455010241 is a deficient number, since it is larger than the sum of its proper divisors (6044126104127).

34005455010241 is a wasteful number, since it uses less digits than its factorization.

34005455010241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283861.

The product of its (nonzero) digits is 48000, while the sum is 34.

The spelling of 34005455010241 in words is "thirty-four trillion, five billion, four hundred fifty-five million, ten thousand, two hundred forty-one".