434402301410240 has 56 divisors (see below), whose sum is σ = 1051953030791280. Its totient is φ = 170815820208128.

The previous prime is 434402301410221. The next prime is 434402301410243. The reversal of 434402301410240 is 42014103204434.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 434402301410197 and 434402301410206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434402301410243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11504279357 + ... + 11504317116.

Almost surely, 2^{434402301410240} is an apocalyptic number.

434402301410240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434402301410240 is an abundant number, since it is smaller than the sum of its proper divisors (617550729381040).

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

434402301410240 is a wasteful number, since it uses less digits than its factorization.

434402301410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23008596549 (or 23008596539 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 434402301410240 its reverse (42014103204434), we get a palindrome (476416404614674).

The spelling of 434402301410240 in words is "four hundred thirty-four trillion, four hundred two billion, three hundred one million, four hundred ten thousand, two hundred forty".