434430101040 has 160 divisors (see below), whose sum is σ = 1526661454080. Its totient is φ = 101308382208.

The previous prime is 434430101023. The next prime is 434430101041. The reversal of 434430101040 is 40101034434.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 434430101040.

It is not an unprimeable number, because it can be changed into a prime (434430101041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3604942 + ... + 3723501.

It is an arithmetic number, because the mean of its divisors is an integer number (9541634088).

Almost surely, 2^434430101040 is an apocalyptic number.

434430101040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434430101040 is an abundant number, since it is smaller than the sum of its proper divisors (1092231353040).

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

434430101040 is a wasteful number, since it uses less digits than its factorization.

434430101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7328491 (or 7328485 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 434430101040 its reverse (40101034434), we get a palindrome (474531135474).

The spelling of 434430101040 in words is "four hundred thirty-four billion, four hundred thirty million, one hundred one thousand, forty".