434122400414120 has 128 divisors (see below), whose sum is σ = 1083665595600000. Its totient is φ = 155182488314880.

The previous prime is 434122400414119. The next prime is 434122400414177. The reversal of 434122400414120 is 21414004221434.

It is a super-3 number, since 3×434122400414120³ (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 953776514 + ... + 954231566.

It is an arithmetic number, because the mean of its divisors is an integer number (8466137465625).

Almost surely, 2^{434122400414120} is an apocalyptic number.

434122400414120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434122400414120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541832797800000).

434122400414120 is an abundant number, since it is smaller than the sum of its proper divisors (649543195185880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

434122400414120 is a wasteful number, since it uses less digits than its factorization.

434122400414120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491883 (or 491879 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 434122400414120 its reverse (21414004221434), we get a palindrome (455536404635554).

The spelling of 434122400414120 in words is "four hundred thirty-four trillion, one hundred twenty-two billion, four hundred million, four hundred fourteen thousand, one hundred twenty".