434313334440 has 96 divisors (see below), whose sum is σ = 1413585781920. Its totient is φ = 115647252864.

The previous prime is 434313334379. The next prime is 434313334459. The reversal of 434313334440 is 44433313434.

434313334440 is a `hidden beast` number, since 4 + 3 + 4 + 313 + 334 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×434313334440² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 434313334395 and 434313334404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 637302 + ... + 1129061.

It is an arithmetic number, because the mean of its divisors is an integer number (14724851895).

Almost surely, 2^434313334440 is an apocalyptic number.

434313334440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434313334440 is an abundant number, since it is smaller than the sum of its proper divisors (979272447480).

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

434313334440 is a wasteful number, since it uses less digits than its factorization.

434313334440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767063 (or 1767056 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 434313334440 its reverse (44433313434), we get a palindrome (478746647874).

The spelling of 434313334440 in words is "four hundred thirty-four billion, three hundred thirteen million, three hundred thirty-four thousand, four hundred forty".