1100400405325 has 24 divisors (see below), whose sum is σ = 1469813066568. Its totient is φ = 812406900480.

The previous prime is 1100400405281. The next prime is 1100400405329. The reversal of 1100400405325 is 5235040040011.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 699703809289 + 400696596036 = 836483^2 + 633006^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1100400405325 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1100400405325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100400405329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 943779 + ... + 1758271.

It is an arithmetic number, because the mean of its divisors is an integer number (61242211107).

Almost surely, 2^{1100400405325} is an apocalyptic number.

It is an amenable number.

1100400405325 is a deficient number, since it is larger than the sum of its proper divisors (369412661243).

1100400405325 is a wasteful number, since it uses less digits than its factorization.

1100400405325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818673 (or 818668 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 1100400405325 its reverse (5235040040011), we get a palindrome (6335440445336).

The spelling of 1100400405325 in words is "one trillion, one hundred billion, four hundred million, four hundred five thousand, three hundred twenty-five".