434134123410 has 256 divisors, whose sum is σ = 1234244874240. Its totient is φ = 96699018240.

The previous prime is 434134123351. The next prime is 434134123439. The reversal of 434134123410 is 14321431434.

It is a super-2 number, since 2×434134123410² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 160373277 + ... + 160375983.

It is an arithmetic number, because the mean of its divisors is an integer number (4821269040).

Almost surely, 2^434134123410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434134123410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617122437120).

434134123410 is an abundant number, since it is smaller than the sum of its proper divisors (800110750830).

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

434134123410 is a wasteful number, since it uses less digits than its factorization.

434134123410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3713.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 434134123410 its reverse (14321431434), we get a palindrome (448455554844).

The spelling of 434134123410 in words is "four hundred thirty-four billion, one hundred thirty-four million, one hundred twenty-three thousand, four hundred ten".