1000434012240 has 160 divisors (see below), whose sum is σ = 3455080110720. Its totient is φ = 237768910848.

The previous prime is 1000434012199. The next prime is 1000434012301. The reversal of 1000434012240 is 422104340001.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 5438002 + ... + 5618961.

It is an arithmetic number, because the mean of its divisors is an integer number (21594250692).

Almost surely, 2^{1000434012240} is an apocalyptic number.

1000434012240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000434012240 is an abundant number, since it is smaller than the sum of its proper divisors (2454646098480).

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

1000434012240 is a wasteful number, since it uses less digits than its factorization.

1000434012240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11057021 (or 11057015 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 1000434012240 its reverse (422104340001), we get a palindrome (1422538352241).

The spelling of 1000434012240 in words is "one trillion, four hundred thirty-four million, twelve thousand, two hundred forty".