434450114240 has 56 divisors (see below), whose sum is σ = 1034631072720. Its totient is φ = 173763795968.

The previous prime is 434450114233. The next prime is 434450114257. The reversal of 434450114240 is 42411054434.

It is a super-3 number, since 3×434450114240³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 434450114197 and 434450114206.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3714899 + ... + 3830061.

It is an arithmetic number, because the mean of its divisors is an integer number (18475554870).

Almost surely, 2^434450114240 is an apocalyptic number.

434450114240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434450114240 is an abundant number, since it is smaller than the sum of its proper divisors (600180958480).

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

434450114240 is a wasteful number, since it uses less digits than its factorization.

434450114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126969 (or 126959 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 434450114240 its reverse (42411054434), we get a palindrome (476861168674).

The spelling of 434450114240 in words is "four hundred thirty-four billion, four hundred fifty million, one hundred fourteen thousand, two hundred forty".