34451035040000 has 180 divisors, whose sum is σ = 86266330847004. Its totient is φ = 13726777344000.

The previous prime is 34451035039961. The next prime is 34451035040011. The reversal of 34451035040000 is 4053015443.

It can be written as a sum of positive squares in 10 ways, for example, as 20391654866944 + 14059380173056 = 4515712^2 + 3749584^2 .

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 19 ways as a sum of consecutive naturals, for example, 40701092 + ... + 41538908.

Almost surely, 2^{34451035040000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34451035040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43133165423502).

34451035040000 is an abundant number, since it is smaller than the sum of its proper divisors (51815295807004).

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

34451035040000 is an frugal number, since it uses more digits than its factorization.

34451035040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838110 (or 838081 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 34451035040000 its reverse (4053015443), we get a palindrome (34455088055443).

The spelling of 34451035040000 in words is "thirty-four trillion, four hundred fifty-one billion, thirty-five million, forty thousand".