434040043320 has 768 divisors, whose sum is σ = 1657519718400. Its totient is φ = 100818432000.

The previous prime is 434040043303. The next prime is 434040043331. The reversal of 434040043320 is 23340040434.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 231981985 + ... + 231983855.

It is an arithmetic number, because the mean of its divisors is an integer number (2158228800).

Almost surely, 2^434040043320 is an apocalyptic number.

434040043320 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 434040043320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828759859200).

434040043320 is an abundant number, since it is smaller than the sum of its proper divisors (1223479675080).

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

434040043320 is a wasteful number, since it uses less digits than its factorization.

434040043320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 434040043320 its reverse (23340040434), we get a palindrome (457380083754).

The spelling of 434040043320 in words is "four hundred thirty-four billion, forty million, forty-three thousand, three hundred twenty".