434342343440 has 40 divisors (see below), whose sum is σ = 1010076433560. Its totient is φ = 173697284096.

The previous prime is 434342343427. The next prime is 434342343443. The reversal of 434342343440 is 44343243434.

It can be written as a sum of positive squares in 4 ways, for example, as 224760064 + 434117583376 = 14992^2 + 658876^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×434342343440² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 434342343394 and 434342343403.

It is not an unprimeable number, because it can be changed into a prime (434342343443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 265625 + ... + 969144.

It is an arithmetic number, because the mean of its divisors is an integer number (25251910839).

Almost surely, 2^434342343440 is an apocalyptic number.

434342343440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434342343440 is an abundant number, since it is smaller than the sum of its proper divisors (575734090120).

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

434342343440 is a wasteful number, since it uses less digits than its factorization.

434342343440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239179 (or 1239173 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 38.

Adding to 434342343440 its reverse (44343243434), we get a palindrome (478685586874).

The spelling of 434342343440 in words is "four hundred thirty-four billion, three hundred forty-two million, three hundred forty-three thousand, four hundred forty".