434012031112240 has 40 divisors (see below), whose sum is σ = 1153231968385440. Its totient is φ = 148804124952576.

The previous prime is 434012031112237. The next prime is 434012031112243. The reversal of 434012031112240 is 42211130210434.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (434012031112237) and next prime (434012031112243).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 434012031112199 and 434012031112208.

It is not an unprimeable number, because it can be changed into a prime (434012031112243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 387510741505 + ... + 387510742624.

It is an arithmetic number, because the mean of its divisors is an integer number (28830799209636).

Almost surely, 2^{434012031112240} is an apocalyptic number.

434012031112240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434012031112240 is an abundant number, since it is smaller than the sum of its proper divisors (719219937273200).

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

434012031112240 is a wasteful number, since it uses less digits than its factorization.

434012031112240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775021484149 (or 775021484143 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 434012031112240 its reverse (42211130210434), we get a palindrome (476223161322674).

The spelling of 434012031112240 in words is "four hundred thirty-four trillion, twelve billion, thirty-one million, one hundred twelve thousand, two hundred forty".