434432410040 has 128 divisors (see below), whose sum is σ = 1008246657600. Its totient is φ = 168364830720.

The previous prime is 434432409997. The next prime is 434432410123. The reversal of 434432410040 is 40014234434.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 434432409985 and 434432410012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175385282 + ... + 175387758.

Almost surely, 2^434432410040 is an apocalyptic number.

434432410040 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 434432410040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504123328800).

434432410040 is an abundant number, since it is smaller than the sum of its proper divisors (573814247560).

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

434432410040 is a wasteful number, since it uses less digits than its factorization.

434432410040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3225 (or 3221 counting only the distinct ones).

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

Adding to 434432410040 its reverse (40014234434), we get a palindrome (474446644474).

The spelling of 434432410040 in words is "four hundred thirty-four billion, four hundred thirty-two million, four hundred ten thousand, forty".