434431221000 has 256 divisors, whose sum is σ = 1550345771520. Its totient is φ = 99216000000.

The previous prime is 434431220969. The next prime is 434431221013. The reversal of 434431221000 is 122134434.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27313050 + ... + 27328950.

It is an arithmetic number, because the mean of its divisors is an integer number (6056038170).

Almost surely, 2^434431221000 is an apocalyptic number.

434431221000 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 434431221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775172885760).

434431221000 is an abundant number, since it is smaller than the sum of its proper divisors (1115914550520).

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

434431221000 is a wasteful number, since it uses less digits than its factorization.

434431221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17233 (or 17219 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 434431221000 its reverse (122134434), we get a palindrome (434553355434).

The spelling of 434431221000 in words is "four hundred thirty-four billion, four hundred thirty-one million, two hundred twenty-one thousand".