434001040040 has 32 divisors (see below), whose sum is σ = 976521501000. Its totient is φ = 173597009664.

The previous prime is 434001040027. The next prime is 434001040087. The reversal of 434001040040 is 40040100434.

It can be written as a sum of positive squares in 4 ways, for example, as 433877785636 + 123254404 = 658694^2 + 11102^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 434001039994 and 434001040021.

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 7 ways as a sum of consecutive naturals, for example, 3316166 + ... + 3444554.

Almost surely, 2^434001040040 is an apocalyptic number.

434001040040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434001040040 is an abundant number, since it is smaller than the sum of its proper divisors (542520460960).

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

434001040040 is a wasteful number, since it uses less digits than its factorization.

434001040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212909 (or 212905 counting only the distinct ones).

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

Adding to 434001040040 its reverse (40040100434), we get a palindrome (474041140474).

The spelling of 434001040040 in words is "four hundred thirty-four billion, one million, forty thousand, forty".