34099466401 has 32 divisors (see below), whose sum is σ = 47362694400. Its totient is φ = 23681306880.

The previous prime is 34099466393. The next prime is 34099466407. The reversal of 34099466401 is 10466499043.

It is not a de Polignac number, because 34099466401 - 2³ = 34099466393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34099466407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 558306 + ... + 616363.

It is an arithmetic number, because the mean of its divisors is an integer number (1480084200).

Almost surely, 2^34099466401 is an apocalyptic number.

It is an amenable number.

34099466401 is a deficient number, since it is larger than the sum of its proper divisors (13263227999).

34099466401 is a wasteful number, since it uses less digits than its factorization.

34099466401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174729.

The product of its (nonzero) digits is 559872, while the sum is 46.

It can be divided in two parts, 34099 and 466401, that added together give a triangular number (500500 = T₁₀₀₀).

The spelling of 34099466401 in words is "thirty-four billion, ninety-nine million, four hundred sixty-six thousand, four hundred one".