1488402440001 has 81 divisors (see below), whose sum is σ = 2294464944681. Its totient is φ = 929699322048.

The previous prime is 1488402439999. The next prime is 1488402440093. The reversal of 1488402440001 is 1000442048841.

The square root of 1488402440001 is 1220001.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 316760724225 + 1171641715776 = 562815^2 + 1082424^2 .

It is not a de Polignac number, because 1488402440001 - 2¹ = 1488402439999 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1488402440101) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3927183030 + ... + 3927183408.

Almost surely, 2^{1488402440001} is an apocalyptic number.

1488402440001 is the 1220001-st square number.

1488402440001 is the 610001-st centered octagonal number.

It is an amenable number.

1488402440001 is a deficient number, since it is larger than the sum of its proper divisors (806062504680).

1488402440001 is an frugal number, since it uses more digits than its factorization.

1488402440001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

Multiplying 1488402440001 by its sum of digits (36), we get a square (53582487840036 = 7320006²).

Adding to 1488402440001 its reverse (1000442048841), we get a palindrome (2488844488842).

The spelling of 1488402440001 in words is "one trillion, four hundred eighty-eight billion, four hundred two million, four hundred forty thousand, one".