1330400524001 has 8 divisors (see below), whose sum is σ = 1412435951784. Its totient is φ = 1248784715520.

The previous prime is 1330400523997. The next prime is 1330400524051. The reversal of 1330400524001 is 1004250040331.

It can be written as a sum of positive squares in 4 ways, for example, as 417573147601 + 912827376400 = 646199^2 + 955420^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1330400524001 - 2² = 1330400523997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1330400524051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104898290 + ... + 104910971.

It is an arithmetic number, because the mean of its divisors is an integer number (176554493973).

Almost surely, 2^{1330400524001} is an apocalyptic number.

It is an amenable number.

1330400524001 is a deficient number, since it is larger than the sum of its proper divisors (82035427783).

1330400524001 is a wasteful number, since it uses less digits than its factorization.

1330400524001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209809651.

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 1330400524001 its reverse (1004250040331), we get a palindrome (2334650564332).

The spelling of 1330400524001 in words is "one trillion, three hundred thirty billion, four hundred million, five hundred twenty-four thousand, one".