434400410000 has 100 divisors (see below), whose sum is σ = 1053113130300. Its totient is φ = 173531136000.

The previous prime is 434400409999. The next prime is 434400410009. The reversal of 434400410000 is 14004434.

It can be written as a sum of positive squares in 10 ways, for example, as 387600875776 + 46799534224 = 622576^2 + 216332^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (434400410009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7661756 + ... + 7718244.

It is an arithmetic number, because the mean of its divisors is an integer number (10531131303).

Almost surely, 2^434400410000 is an apocalyptic number.

434400410000 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 434400410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526556565150).

434400410000 is an abundant number, since it is smaller than the sum of its proper divisors (618712720300).

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

434400410000 is an equidigital number, since it uses as much as digits as its factorization.

434400410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57286 (or 57265 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 434400410000 its reverse (14004434), we get a palindrome (434414414434).

The spelling of 434400410000 in words is "four hundred thirty-four billion, four hundred million, four hundred ten thousand".