34504541044240 has 80 divisors (see below), whose sum is σ = 81615052592496. Its totient is φ = 13562760038400.

The previous prime is 34504541044199. The next prime is 34504541044279. The reversal of 34504541044240 is 4244014540543.

It can be written as a sum of positive squares in 8 ways, for example, as 302442802704 + 34202098241536 = 549948^2 + 5848256^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 34504541044193 and 34504541044202.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1845634 + ... + 8509726.

Almost surely, 2^{34504541044240} 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 34504541044240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40807526296248).

34504541044240 is an abundant number, since it is smaller than the sum of its proper divisors (47110511548256).

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

34504541044240 is a wasteful number, since it uses less digits than its factorization.

34504541044240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6665228 (or 6665222 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 40.

Adding to 34504541044240 its reverse (4244014540543), we get a palindrome (38748555584783).

The spelling of 34504541044240 in words is "thirty-four trillion, five hundred four billion, five hundred forty-one million, forty-four thousand, two hundred forty".