34400312144440 has 32 divisors (see below), whose sum is σ = 84437129810160. Its totient is φ = 12509204416000.

The previous prime is 34400312144381. The next prime is 34400312144477. The reversal of 34400312144440 is 4444121300443.

It is a junction number, because it is equal to n+sod(n) for n = 34400312144396 and 34400312144405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39091263361 + ... + 39091264240.

Almost surely, 2^{34400312144440} is an apocalyptic number.

It is an amenable number.

34400312144440 is an abundant number, since it is smaller than the sum of its proper divisors (50036817665720).

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

34400312144440 is a wasteful number, since it uses less digits than its factorization.

34400312144440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78182527623 (or 78182527619 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 34400312144440 its reverse (4444121300443), we get a palindrome (38844433444883).

The spelling of 34400312144440 in words is "thirty-four trillion, four hundred billion, three hundred twelve million, one hundred forty-four thousand, four hundred forty".