34025341331040 has 384 divisors, whose sum is σ = 111620401643520. Its totient is φ = 8703027763200.

The previous prime is 34025341331039. The next prime is 34025341331077. The reversal of 34025341331040 is 4013314352043.

It is a junction number, because it is equal to n+sod(n) for n = 34025341330992 and 34025341331010.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 817679835 + ... + 817721445.

It is an arithmetic number, because the mean of its divisors is an integer number (290678129280).

Almost surely, 2^{34025341331040} is an apocalyptic number.

34025341331040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34025341331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55810200821760).

34025341331040 is an abundant number, since it is smaller than the sum of its proper divisors (77595060312480).

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

34025341331040 is a wasteful number, since it uses less digits than its factorization.

34025341331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42146 (or 42138 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

Adding to 34025341331040 its reverse (4013314352043), we get a palindrome (38038655683083).

The spelling of 34025341331040 in words is "thirty-four trillion, twenty-five billion, three hundred forty-one million, three hundred thirty-one thousand, forty".