434101134040 has 32 divisors (see below), whose sum is σ = 1116260059680. Its totient is φ = 148834674432.

The previous prime is 434101134011. The next prime is 434101134043. The reversal of 434101134040 is 40431101434.

It is a junction number, because it is equal to n+sod(n) for n = 434101133996 and 434101134014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434101134043) by changing a digit.

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, 775180317 + ... + 775180876.

It is an arithmetic number, because the mean of its divisors is an integer number (34883126865).

Almost surely, 2^434101134040 is an apocalyptic number.

434101134040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434101134040 is an abundant number, since it is smaller than the sum of its proper divisors (682158925640).

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

434101134040 is a wasteful number, since it uses less digits than its factorization.

434101134040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550361211 (or 1550361207 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 434101134040 its reverse (40431101434), we get a palindrome (474532235474).

The spelling of 434101134040 in words is "four hundred thirty-four billion, one hundred one million, one hundred thirty-four thousand, forty".