1155144202400 has 72 divisors (see below), whose sum is σ = 2820387350844. Its totient is φ = 461993523200.

The previous prime is 1155144202361. The next prime is 1155144202409. The reversal of 1155144202400 is 42024415511.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 509390528656 + 645753673744 = 713716^2 + 803588^2 .

It is not an unprimeable number, because it can be changed into a prime (1155144202409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5888294 + ... + 6081306.

Almost surely, 2^{1155144202400} is an apocalyptic number.

1155144202400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1155144202400 is an abundant number, since it is smaller than the sum of its proper divisors (1665243148444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1155144202400 is a wasteful number, since it uses less digits than its factorization.

1155144202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200514 (or 200501 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

Adding to 1155144202400 its reverse (42024415511), we get a palindrome (1197168617911).

The spelling of 1155144202400 in words is "one trillion, one hundred fifty-five billion, one hundred forty-four million, two hundred two thousand, four hundred".