1024400134337 has 2 divisors, whose sum is σ = 1024400134338. Its totient is φ = 1024400134336.

The previous prime is 1024400134283. The next prime is 1024400134339. The reversal of 1024400134337 is 7334310044201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 536950407361 + 487449726976 = 732769^2 + 698176^2 .

It is a cyclic number.

It is not a de Polignac number, because 1024400134337 - 2¹⁶ = 1024400068801 is a prime.

Together with 1024400134339, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1024400134339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 512200067168 + 512200067169.

It is an arithmetic number, because the mean of its divisors is an integer number (512200067169).

Almost surely, 2^{1024400134337} is an apocalyptic number.

It is an amenable number.

1024400134337 is a deficient number, since it is larger than the sum of its proper divisors (1).

1024400134337 is an equidigital number, since it uses as much as digits as its factorization.

1024400134337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 32.

Adding to 1024400134337 its reverse (7334310044201), we get a palindrome (8358710178538).

The spelling of 1024400134337 in words is "one trillion, twenty-four billion, four hundred million, one hundred thirty-four thousand, three hundred thirty-seven".