34545111404240 has 160 divisors (see below), whose sum is σ = 86290508009376. Its totient is φ = 12815608709120.

The previous prime is 34545111404129. The next prime is 34545111404273. The reversal of 34545111404240 is 4240411154543.

It can be written as a sum of positive squares in 16 ways, for example, as 15474562147984 + 19070549256256 = 3933772^2 + 4366984^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34545111404194 and 34545111404203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25936970 + ... + 27236310.

Almost surely, 2^{34545111404240} 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 34545111404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43145254004688).

34545111404240 is an abundant number, since it is smaller than the sum of its proper divisors (51745396605136).

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

34545111404240 is a wasteful number, since it uses less digits than its factorization.

34545111404240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299657 (or 1299651 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 38.

Adding to 34545111404240 its reverse (4240411154543), we get a palindrome (38785522558783).

The spelling of 34545111404240 in words is "thirty-four trillion, five hundred forty-five billion, one hundred eleven million, four hundred four thousand, two hundred forty".