434220231200417 has 16 divisors (see below), whose sum is σ = 459866218015440. Its totient is φ = 408585763289088.

The previous prime is 434220231200389. The next prime is 434220231200453. The reversal of 434220231200417 is 714002132022434.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 248279298848161 + 185940932352256 = 15756881^2 + 13636016^2 .

It is a de Polignac number, because none of the positive numbers 2^k-434220231200417 is a prime.

It is a super-2 number, since 2×434220231200417² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (434220231200017) 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, 3326859443 + ... + 3326989959.

It is an arithmetic number, because the mean of its divisors is an integer number (28741638625965).

Almost surely, 2^{434220231200417} is an apocalyptic number.

It is an amenable number.

434220231200417 is a deficient number, since it is larger than the sum of its proper divisors (25645986815023).

434220231200417 is a wasteful number, since it uses less digits than its factorization.

434220231200417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173140.

The product of its (nonzero) digits is 64512, while the sum is 35.

The spelling of 434220231200417 in words is "four hundred thirty-four trillion, two hundred twenty billion, two hundred thirty-one million, two hundred thousand, four hundred seventeen".