1509340882464 has 144 divisors (see below), whose sum is σ = 4549864796568. Its totient is φ = 472977432576.

The previous prime is 1509340882463. The next prime is 1509340882471. The reversal of 1509340882464 is 4642880439051.

1509340882464 is a `hidden beast` number, since 1 + 50 + 9 + 340 + 8 + 8 + 246 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1442621992464 + 66718890000 = 1201092^2 + 258300^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×1509340882464³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1509340882464.

It is not an unprimeable number, because it can be changed into a prime (1509340882463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4118034 + ... + 4469550.

Almost surely, 2^{1509340882464} 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 1509340882464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274932398284).

1509340882464 is an abundant number, since it is smaller than the sum of its proper divisors (3040523914104).

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

1509340882464 is a wasteful number, since it uses less digits than its factorization.

1509340882464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352427 (or 352416 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 1509340882464 in words is "one trillion, five hundred nine billion, three hundred forty million, eight hundred eighty-two thousand, four hundred sixty-four".