305514004145440 has 24 divisors (see below), whose sum is σ = 721776834793980. Its totient is φ = 122205601658112.

The previous prime is 305514004145429. The next prime is 305514004145501. The reversal of 305514004145440 is 44541400415503.

It can be written as a sum of positive squares in 2 ways, for example, as 294704927648784 + 10809076496656 = 17166972^2 + 3287716^2 .

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 = 305514004145393 and 305514004145402.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 954731262795 + ... + 954731263114.

Almost surely, 2^{305514004145440} is an apocalyptic number.

It is an amenable number.

305514004145440 is an abundant number, since it is smaller than the sum of its proper divisors (416262830648540).

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

305514004145440 is a wasteful number, since it uses less digits than its factorization.

305514004145440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909462525924 (or 1909462525916 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

The spelling of 305514004145440 in words is "three hundred five trillion, five hundred fourteen billion, four million, one hundred forty-five thousand, four hundred forty".