410433242240 has 128 divisors (see below), whose sum is σ = 1123441643520. Its totient is φ = 140459028480.

The previous prime is 410433242237. The next prime is 410433242243. The reversal of 410433242240 is 42242334014.

It is an interprime number because it is at equal distance from previous prime (410433242237) and next prime (410433242243).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (410433242243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2339009 + ... + 2508351.

It is an arithmetic number, because the mean of its divisors is an integer number (8776887840).

Almost surely, 2^410433242240 is an apocalyptic number.

410433242240 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 410433242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561720821760).

410433242240 is an abundant number, since it is smaller than the sum of its proper divisors (713008401280).

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

410433242240 is a wasteful number, since it uses less digits than its factorization.

410433242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169910 (or 169898 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 410433242240 its reverse (42242334014), we get a palindrome (452675576254).

The spelling of 410433242240 in words is "four hundred ten billion, four hundred thirty-three million, two hundred forty-two thousand, two hundred forty".