34040214201 has 32 divisors (see below), whose sum is σ = 53424230400. Its totient is φ = 19269698448.

The previous prime is 34040214191. The next prime is 34040214253. The reversal of 34040214201 is 10241204043.

It is not a de Polignac number, because 34040214201 - 2³³ = 25450279609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (34040214301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44481 + ... + 264686.

It is an arithmetic number, because the mean of its divisors is an integer number (1669507200).

Almost surely, 2^34040214201 is an apocalyptic number.

It is an amenable number.

34040214201 is a deficient number, since it is larger than the sum of its proper divisors (19384016199).

34040214201 is a wasteful number, since it uses less digits than its factorization.

34040214201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309298 (or 309284 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 34040214201 its reverse (10241204043), we get a palindrome (44281418244).

The spelling of 34040214201 in words is "thirty-four billion, forty million, two hundred fourteen thousand, two hundred one".