1024400134401 has 16 divisors (see below), whose sum is σ = 1563763329024. Its totient is φ = 584331762384.

The previous prime is 1024400134391. The next prime is 1024400134451. The reversal of 1024400134401 is 1044310044201.

It is not a de Polignac number, because 1024400134401 - 2⁶ = 1024400134337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1024400134451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43310521 + ... + 43334166.

It is an arithmetic number, because the mean of its divisors is an integer number (97735208064).

Almost surely, 2^{1024400134401} is an apocalyptic number.

It is an amenable number.

1024400134401 is a deficient number, since it is larger than the sum of its proper divisors (539363194623).

1024400134401 is an equidigital number, since it uses as much as digits as its factorization.

1024400134401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86645260.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1024400134401 its reverse (1044310044201), we get a palindrome (2068710178602).

The spelling of 1024400134401 in words is "one trillion, twenty-four billion, four hundred million, one hundred thirty-four thousand, four hundred one".