434224442400331 has 16 divisors (see below), whose sum is σ = 501564857367168. Its totient is φ = 371528345372800.

The previous prime is 434224442400319. The next prime is 434224442400367. The reversal of 434224442400331 is 133004244422434.

It is a de Polignac number, because none of the positive numbers 2^k-434224442400331 is a prime.

It is a super-2 number, since 2×434224442400331² (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 (434224442440331) 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, 149562996 + ... + 152438638.

It is an arithmetic number, because the mean of its divisors is an integer number (31347803585448).

Almost surely, 2^{434224442400331} is an apocalyptic number.

434224442400331 is a deficient number, since it is larger than the sum of its proper divisors (67340414966837).

434224442400331 is a wasteful number, since it uses less digits than its factorization.

434224442400331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3683162.

The product of its (nonzero) digits is 884736, while the sum is 40.

Adding to 434224442400331 its reverse (133004244422434), we get a palindrome (567228686822765).

The spelling of 434224442400331 in words is "four hundred thirty-four trillion, two hundred twenty-four billion, four hundred forty-two million, four hundred thousand, three hundred thirty-one".