434401313121 has 32 divisors (see below), whose sum is σ = 652364595200. Its totient is φ = 285645119760.

The previous prime is 434401313119. The next prime is 434401313161. The reversal of 434401313121 is 121313104434.

434401313121 is a `hidden beast` number, since 4 + 344 + 0 + 1 + 3 + 1 + 312 + 1 = 666.

It is not a de Polignac number, because 434401313121 - 2¹ = 434401313119 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (434401313161) 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, 2011050 + ... + 2216556.

It is an arithmetic number, because the mean of its divisors is an integer number (20386393600).

Almost surely, 2^434401313121 is an apocalyptic number.

It is an amenable number.

434401313121 is a deficient number, since it is larger than the sum of its proper divisors (217963282079).

434401313121 is a wasteful number, since it uses less digits than its factorization.

434401313121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206586 (or 206580 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 434401313121 its reverse (121313104434), we get a palindrome (555714417555).

The spelling of 434401313121 in words is "four hundred thirty-four billion, four hundred one million, three hundred thirteen thousand, one hundred twenty-one".