1135441214401 has 16 divisors (see below), whose sum is σ = 1226653412544. Its totient is φ = 1044783670464.

The previous prime is 1135441214377. The next prime is 1135441214459. The reversal of 1135441214401 is 1044121445311.

It is a cyclic number.

It is not a de Polignac number, because 1135441214401 - 2⁹ = 1135441213889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1135411214401) 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, 16805850 + ... + 16873276.

It is an arithmetic number, because the mean of its divisors is an integer number (76665838284).

Almost surely, 2^{1135441214401} is an apocalyptic number.

It is an amenable number.

1135441214401 is a deficient number, since it is larger than the sum of its proper divisors (91212198143).

1135441214401 is a wasteful number, since it uses less digits than its factorization.

1135441214401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71520.

The product of its (nonzero) digits is 7680, while the sum is 31.

Adding to 1135441214401 its reverse (1044121445311), we get a palindrome (2179562659712).

The spelling of 1135441214401 in words is "one trillion, one hundred thirty-five billion, four hundred forty-one million, two hundred fourteen thousand, four hundred one".