434002011002340 has 96 divisors (see below), whose sum is σ = 1325692847324160. Its totient is φ = 105211499414400.

The previous prime is 434002011002321. The next prime is 434002011002341. The reversal of 434002011002340 is 43200110200434.

It is a super-2 number, since 2×434002011002340² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 434002011002340.

It is not an unprimeable number, because it can be changed into a prime (434002011002341) 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, 60059625 + ... + 66896655.

It is an arithmetic number, because the mean of its divisors is an integer number (13809300492960).

Almost surely, 2^{434002011002340} is an apocalyptic number.

It is an amenable number.

434002011002340 is an abundant number, since it is smaller than the sum of its proper divisors (891690836321820).

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

434002011002340 is a wasteful number, since it uses less digits than its factorization.

434002011002340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6933233 (or 6933231 counting only the distinct ones).

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

Adding to 434002011002340 its reverse (43200110200434), we get a palindrome (477202121202774).

The spelling of 434002011002340 in words is "four hundred thirty-four trillion, two billion, eleven million, two thousand, three hundred forty".