434424351438 has 320 divisors, whose sum is σ = 1289398860288. Its totient is φ = 105838202880.

The previous prime is 434424351409. The next prime is 434424351457. The reversal of 434424351438 is 834153424434.

434424351438 is a `hidden beast` number, since 4 + 34 + 42 + 435 + 143 + 8 = 666.

It is a super-3 number, since 3×434424351438³ (a number of 36 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 434424351393 and 434424351402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 65098470 + ... + 65105142.

Almost surely, 2^434424351438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434424351438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644699430144).

434424351438 is an abundant number, since it is smaller than the sum of its proper divisors (854974508850).

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

434424351438 is a wasteful number, since it uses less digits than its factorization.

434424351438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7029 (or 7020 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 45.

The spelling of 434424351438 in words is "four hundred thirty-four billion, four hundred twenty-four million, three hundred fifty-one thousand, four hundred thirty-eight".