434440410040 has 128 divisors (see below), whose sum is σ = 1255373199360. Its totient is φ = 131515236864.

The previous prime is 434440409999. The next prime is 434440410043. The reversal of 434440410040 is 40014044434.

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 = 434440409990 and 434440410008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434440410043) 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 31 ways as a sum of consecutive naturals, for example, 2510884 + ... + 2678323.

It is an arithmetic number, because the mean of its divisors is an integer number (9807603120).

Almost surely, 2^434440410040 is an apocalyptic number.

434440410040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434440410040 is an abundant number, since it is smaller than the sum of its proper divisors (820932789320).

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

434440410040 is a wasteful number, since it uses less digits than its factorization.

434440410040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5189261 (or 5189257 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 434440410040 its reverse (40014044434), we get a palindrome (474454454474).

The spelling of 434440410040 in words is "four hundred thirty-four billion, four hundred forty million, four hundred ten thousand, forty".