434050314124 has 72 divisors (see below), whose sum is σ = 923341936608. Its totient is φ = 177678547200.

The previous prime is 434050314097. The next prime is 434050314221. The reversal of 434050314124 is 421413050434.

It is a super-2 number, since 2×434050314124² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3091432 + ... + 3228784.

It is an arithmetic number, because the mean of its divisors is an integer number (12824193564).

Almost surely, 2^434050314124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434050314124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461670968304).

434050314124 is an abundant number, since it is smaller than the sum of its proper divisors (489291622484).

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

434050314124 is a wasteful number, since it uses less digits than its factorization.

434050314124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138095 (or 138086 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 434050314124 its reverse (421413050434), we get a palindrome (855463364558).

The spelling of 434050314124 in words is "four hundred thirty-four billion, fifty million, three hundred fourteen thousand, one hundred twenty-four".