434048888262444 has 384 divisors, whose sum is σ = 1298846924390400. Its totient is φ = 109737196277760.

The previous prime is 434048888262443. The next prime is 434048888262449. The reversal of 434048888262444 is 444262888840434.

It is not an unprimeable number, because it can be changed into a prime (434048888262443) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16962310402 + ... + 16962335990.

It is an arithmetic number, because the mean of its divisors is an integer number (3382413865600).

Almost surely, 2^{434048888262444} 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 434048888262444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649423462195200).

434048888262444 is an abundant number, since it is smaller than the sum of its proper divisors (864798036127956).

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

434048888262444 is a wasteful number, since it uses less digits than its factorization.

434048888262444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30353 (or 30351 counting only the distinct ones).

The product of its (nonzero) digits is 1207959552, while the sum is 69.

The spelling of 434048888262444 in words is "four hundred thirty-four trillion, forty-eight billion, eight hundred eighty-eight million, two hundred sixty-two thousand, four hundred forty-four".